Edit Profile (opens in new tab) Elliott, George A. Co-Author Distance Author ID: elliott.george-a Published as: Elliott, George A.; Elliott, G. A.; Elliot, George A.; Elliott, George; Elliott, G. more...less External Links: MGP · Wikidata Documents Indexed: 194 Publications since 1966, including 1 Book and 10 Additional arXiv Preprints 4 Contributions as Editor · 1 Further Contribution Reviewing Activity: 40 Reviews Co-Authors: 98 Co-Authors with 141 Joint Publications 1,690 Co-Co-Authors all top 5 Co-Authors 56 single-authored 25 Bratteli, Ola 15 Gong, Guihua 15 Niu, Zhuang 12 Evans, David E. 11 Kishimoto, Akitaka 7 Lin, Huaxin 6 Jørgensen, Palle E. T. 5 Fang, Xiaochun 5 Li, Zhiqiang 5 Nest, Ryszard 4 An, Qingnan 4 Cuntz, Joachim 4 Fan, Qingzhai 4 Li, Liangqing 4 Liu, Zhichao 4 Natsume, Toshikazu 4 Robinson, Derek William 4 Rørdam, Mikael 4 Su, Hongbing 4 Toms, Andrew S. 3 Amini, Massoud 3 Brown, Lawrence Gerald 3 Giordano, Thierry 3 Santiago, Luis 3 Thomsen, Klaus E. 2 Bhat, B. V. Rajarama 2 Choi, Man-Duen 2 Ciuperca, Alin 2 Dadarlat, Marius 2 Digernes, Trond 2 Fillmore, Peter A. 2 Golestani, Nasser 2 Handelman, David E. 2 Ivanescu, Cristian 2 Kucerovsky, Dan Z. 2 Kumjian, Alexander 2 Li, Hanfeng 2 Lin, Qing 2 Loring, Terry A. 2 Mundici, Daniele 2 Pasnicu, Cornel 2 Sato, Yasuhiko 2 Zhao, Xia 2 Zsidó, Lászlo 1 Adams, Scot 1 Akemann, Charles A. 1 Araki, Huzihiro 1 Asadi, Mohammad B. 1 Behncke, Horst 1 Berkson, Earl 1 Blackadar, Bruce E. 1 Bratteli, Tone 1 Brenken, Berndt A. 1 Cignoli, Roberto 1 Combes, Jean-Michel 1 Coward, Kristofer T. 1 Disney, Shaun 1 Dowson, Henry Richard 1 Eilers, Søren 1 Exel, Ruy 1 Farah, Ilijas 1 Fulman, Igor 1 Goodman, Frederick M. 1 Halperin, Israel 1 Herman, Richard H. 1 Ho, Toan Minh 1 Im, Jeffrey 1 Jiang, Xinhui 1 Kawamura, Katsunori 1 Khosravi, Fatemeh 1 Kishimoto, Aki 1 Landstad, Magnus B. 1 Nenciu, Gheorghe 1 Olesen, Dorte 1 Paulsen, Vern Ival 1 Pedersen, Gert Kjærgård 1 Raeburn, Iain 1 Ribenboim, Paulo 1 Robert, Leonel 1 Rosendal, Christian 1 Saitô, Kazuyuki 1 Siedentop, Heinz Karl Heinrich 1 Sierakowski, Adam J. 1 Skinner, Brian 1 Størmer, Erling 1 Strătilă, Şerban Valentin 1 Takemoto, Hideo 1 Tikuisis, Aaron Peter 1 Tomiyama, Jun 1 Törnquist, Asger 1 Villadsen, Jesper 1 Winter, Wilhelm 1 Wong, Dickson 1 Woods, Edward James 1 Wright, John David Maitland 1 Yahaghi, Bamdad R. 1 Yui, Noriko 1 Zhang, Yuanhang all top 5 Serials 18 Comptes Rendus Mathématiques de l’Académie des Sciences 13 Journal of Functional Analysis 11 Canadian Journal of Mathematics 9 Mathematica Scandinavica 7 Canadian Mathematical Bulletin 6 Proceedings of the American Mathematical Society 6 Journal of Operator Theory 5 Communications in Mathematical Physics 5 Inventiones Mathematicae 5 Annals of Mathematics. Second Series 4 Journal für die Reine und Angewandte Mathematik 4 Pacific Journal of Mathematics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Transactions of the American Mathematical Society 3 American Journal of Mathematics 3 Indiana University Mathematics Journal 3 Mathematische Annalen 3 \(K\)-Theory 2 Acta Mathematica 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Tôhoku Mathematical Journal. Second Series 2 Ergodic Theory and Dynamical Systems 2 Journal of the Ramanujan Mathematical Society 2 International Journal of Mathematics 2 IMRN. International Mathematics Research Notices 2 Fields Institute Monographs 2 Journal of Noncommutative Geometry 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Yokohama Mathematical Journal 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Journal of the Australian Mathematical Society. Series A 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 Oberwolfach Reports 1 Münster Journal of Mathematics 1 Journal of Topology and Analysis all top 5 Fields 168 Functional analysis (46-XX) 25 Operator theory (47-XX) 18 \(K\)-theory (19-XX) 5 Category theory; homological algebra (18-XX) 5 Topological groups, Lie groups (22-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Algebraic topology (55-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 151 Publications have been cited 2,310 times in 1,194 Documents Cited by ▼ Year ▼ On the classification of inductive limits of sequences of semisimple finite-dimensional algebras. Zbl 0323.46063 Elliott, George A. 243 1976 On the classification of \(C^*\)-algebras of real rank zero. Zbl 0809.46067 Elliott, George A. 125 1993 On the classification of \(C^*\)-algebras of real rank zero. II. Zbl 0867.46041 Elliott, George A.; Gong, Guihua 113 1996 The Cuntz semigroup as an invariant for C*-algebras. Zbl 1161.46029 Coward, Kristofer T.; Elliott, George A.; Ivanescu, Cristian 84 2008 The structure of the irrational rotation \(C^*\)-algebra. Zbl 0847.46034 Elliott, George A.; Evans, David E. 77 1993 On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem. Zbl 1129.46051 Elliott, George A.; Gong, Guihua; Li, Liangqing 75 2007 Regularity properties in the classification program for separable amenable \(C^*\)-algebras. Zbl 1151.46048 Elliott, George A.; Toms, Andrew S. 70 2008 Gauss polynomials and the rotation algebra. Zbl 0665.46051 Choi, Man-Duen; Elliott, George A.; Yui, Noriko 60 1990 The cone of lower semicontinuous traces on a C\(^{\ast}\)-algebra. Zbl 1236.46052 Elliott, George A.; Robert, Leonel; Santiago, Luis 53 2011 The classification problem for amenable \(C^*\)-algebras. Zbl 0946.46050 Elliott, George A. 49 1995 Fields of generalized power series. Zbl 0676.13010 Elliott, G. A.; Ribenboim, P. 47 1990 An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem. Zbl 1058.46041 Elliott, George A.; Kucerovsky, Dan 45 2001 Derivations of matroid C\(^*\)-algebras. II. Zbl 0296.46062 Elliott, George A. 37 1974 Some simple C*-algebras constructed as crossed products with discrete outer automorphism groups. Zbl 0438.46044 Elliott, George A. 35 1980 Cyclic cohomology for one-parameter smooth crossed products. Zbl 0655.46054 Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 33 1988 The \({C}^\ast\)-algebra of a minimal homeomorphism of zero mean dimension. Zbl 1410.46046 Elliott, George A.; Niu, Zhuang 31 2017 Reduction of real rank in inductive limits of \(C^*\)-algebras. Zbl 0738.46027 Blackadar, Bruce; Bratteli, Ola; Elliott, George A.; Kumjian, Alexander 31 1992 On tracial approximation. Zbl 1137.46035 Elliott, George A.; Niu, Zhuang 31 2008 Automorphisms determined by multipliers on ideals of a \(C^*\)-algebra. Zbl 0335.46037 Elliott, George A. 30 1976 Amenable actions of groups. Zbl 0814.47009 Adams, Scot; Elliott, George A.; Giordano, Thierry 26 1994 Gaps in the spectrum of an almost periodic Schrödinger operator. Zbl 0516.46048 Elliott, George A. 26 1982 An invariant for simple \(C^*\)-algebras. Zbl 1206.46046 Elliott, George A. 24 1996 Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras. Zbl 0869.46030 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Pasnicu, Cornel 23 1996 On inductive limits of matrix algebras over the two-torus. Zbl 0847.46032 Elliott, George A.; Gong, Guihua 22 1996 Non-commutative spheres. I. Zbl 0759.46063 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 22 1991 The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension. Zbl 1465.46059 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 22 2020 A classification of certain simple \(C^*\)-algebras. Zbl 0843.46045 Elliott, George A. 21 1993 Classification of certain infinite simple \(C^*\)-algebras. II. Zbl 0864.46038 Elliott, George A.; Rørdam, Mikael 20 1995 A remark on invariants for \(C^*\)-algebras of stable rank one. Zbl 1159.46036 Ciuperca, Alin; Elliott, George A. 20 2008 On the possible temperatures of a dynamical system. Zbl 0437.46059 Bratteli, Ola; Elliott, George A.; Herman, Richard H. 19 1980 Some C*-algebras with outer derivations, III. Zbl 0365.46051 Elliott, George A. 18 1977 On approximately finite-dimensional von Neuman algebras. II. Zbl 0399.46047 Elliott, George A. 18 1978 Decomposition of unbounded derivations into invariant and approximately inner parts. Zbl 0515.46057 Bratteli, Ola; Elliott, George A.; Jørgensen, Palle E. T. 18 1984 A classification of certain simple \(C^*\)-algebras. II. Zbl 0954.46035 Elliott, George A. 17 1997 Dimension groups with torsion. Zbl 0748.46037 Elliott, George A. 17 1990 Structure spaces of approximately finite-dimensional C*-algebras. II. Zbl 0406.46047 Bratteli, Ola; Elliot, George A. 16 1978 The automorphism group of the irrational rotation \(C^*\)-algebra. Zbl 0895.46029 Elliot, George A.; Rørdam, Mikael 16 1993 Simple stably projectionless C*-algebras with generalized tracial rank one. Zbl 1460.46052 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 16 2020 The temperature state space of a C*-dynamical system. I. Zbl 0466.46057 Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka 15 1980 Approximate divisibility of simple inductive limit \(C^*\)-algebras. Zbl 0933.46054 Elliott, George A.; Gong, Guihua; Li, Liangqing 15 1998 The classification of simple separable unital \(\mathcal{Z}\)-stable locally ASH algebras. Zbl 1380.46046 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 15 2017 Non-commutative spheres. II: Rational rotations. Zbl 0814.46060 Bratteli, O.; Elliott, George A.; Evans, D. E.; Kishimoto, A. 15 1992 Derivations and multipliers of C*-algebras. Zbl 0355.46041 Akemann, Charles A.; Elliott, George A.; Pedersen, Gert K.; Tomiyama, Jun 14 1976 Reconstructing \(C^*\)-algebras from their Murray von Neumann orders. Zbl 0823.46053 Cignoli, Roberto; Elliott, George A.; Mundici, Daniele 14 1993 Density of the self-adjoint elements with finite spectrum in an irrational rotation \(C^*\)-algebra. Zbl 0743.46070 Choi, Man-Duen; Elliott, George A. 14 1990 On the K-theory of the \(C^*\)-algebra generated by a projective representation of a torsion-free discrete abelian group. Zbl 0542.46030 Elliott, G. A. 14 1984 Homotopy of a pair of approximately commuting unitaries in a simple \(C^*\)-algebra. Zbl 0939.46033 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 13 1998 The isomorphism relation for separable \(C^\ast\)-algebras. Zbl 1298.46047 Elliott, George A.; Farah, Ilijas; Paulsen, Vern I.; Rosendal, Christian; Toms, Andrew S.; Törnquist, Asger 13 2013 The Heisenberg group and \(K\)-theory. Zbl 0803.46076 Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 13 1993 Derivations of matroid \(C^*\)-algebras. Zbl 0186.46003 Elliott, G. A. 13 1970 Morita equivalence of smooth noncommutative tori. Zbl 1137.46030 Elliott, George A.; Li, Hanfeng 13 2007 Strong Morita equivalence of higher-dimensional noncommutative tori. II. Zbl 1153.46045 Elliott, George A.; Li, Hanfeng 13 2008 On totally ordered groups, and \(K_0\). Zbl 0418.06010 Elliott, George A. 12 1979 Cut-down method in the inductive limit decomposition of non-commutative tori. Zbl 0857.46046 Elliott, George A.; Lin, Qing 12 1996 Towards a theory of classification. Zbl 1186.18001 Elliott, George A. 12 2010 On inductive limits of type-I C\(^*\)-algebras with one-dimensional spectrum. Zbl 1232.46051 Ciuperca, Alin; Elliott, George A.; Santiago, Luis 12 2011 On the classification of simple amenable \(C^*\)-algebras with finite decomposition rank. Zbl 1366.46046 Elliott, George A.; Niu, Zhuang 11 2016 Injectivity of the connecting maps in AH inductive limit systems. Zbl 1075.46052 Elliott, George A.; Gong, Guihua; Li, Liangqing 11 2005 A simple proof of the Dauns-Hofmann theorem. Zbl 0289.46042 Elliott, George A.; Olesen, Dorte 10 1974 On derivations of AW*-algebras. Zbl 0378.46063 Elliott, George A. 10 1978 The state space of the \(K_ 0\)-group of a simple separable \(C^*\)- algebra. Zbl 0830.46063 Elliott, G. A.; Thomsen, K. 10 1994 One-parameter continuous fields of Kirchberg algebras. Zbl 1146.46037 Dadarlat, Marius; Elliott, George A. 10 2007 On the definition of \(C^*\)-algebras. Zbl 0272.46033 Araki, Huzihiro; Elliott, George A. 9 1973 Finite group actions on AF algebras obtained by folding the interval. Zbl 0821.46088 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 9 1994 Strong topological transitivity and \(C^*\)-dynamical systems. Zbl 0593.46054 Bratteli, Ola; Elliott, George A. 9 1985 Quasi-product actions of a compact abelian group on a \(C^*\)-algebra. Zbl 0653.46062 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 9 1989 AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory. Zbl 0756.46039 Elliott, George A.; Loring, Terry A. 9 1992 The category of Bratteli diagrams. Zbl 1335.46048 Amini, Massoud; Elliott, George A.; Golestani, Nasser 9 2015 On the classification of \(C^*\)-algebras of real rank zero. IV: Reduction to local spectrum of dimension two. Zbl 0933.46056 Elliott, George A.; Gong, Guihua; Su, Hongbing 8 1998 On the convergence of a sequence of completely positive maps to the identity. Zbl 0962.46041 Elliott, George A. 8 2000 The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics. Zbl 0876.58047 Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 8 1996 Addition of \(C^*\)-algebra extensions. Zbl 0685.46042 Elliott, George A.; Handelman, David E. 8 1989 The ideal structure of the multiplier algebra of an AF algebra. Zbl 0637.46062 Elliott, George A. 8 1987 Outer conjugacy classes of trace scaling automorphisms of stable UHF algebras. Zbl 0973.46049 Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 7 1998 The equivalence of various definitions for a properly infinite von Neumann algebra to be approximately finite dimensional. Zbl 0341.46044 Elliott, G. A.; Woods, E. J. 7 1977 On approximately finite-dimensional von Neumann algebras. Zbl 0355.46046 Elliott, George A. 7 1976 \(K\)-theoretic classification for inductive limit \(Z_ 2\) actions on AF algebras. Zbl 0869.46037 Elliott, George A.; Su, Hongbing 7 1996 Perforated ordered \(K_0\)-groups. Zbl 0986.46042 Elliott, George A.; Villadsen, Jesper 7 2000 The temperature state space of a \(C^ *\)-dynamical system. II. Zbl 0602.46067 Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka 7 1986 Frames in Hilbert \(C^\ast\)-modules and Morita equivalent \(C^\ast\)-algebras. Zbl 1373.46053 Amini, Massoud; Asadi, Mohammad B.; Elliott, George A.; Khosravi, Fatemeh 7 2017 Amenable actions of discrete groups. Zbl 0781.58014 Elliott, George A.; Giordano, T. 7 1993 A characterisation of lattice-ordered Abelian groups. Zbl 0789.06011 Elliott, George A.; Mundici, Daniele 7 1993 Cut-down method in the inductive limit decomposition of non-commutative tori. II: The degenerate case. Zbl 0880.46049 Elliott, George A.; Lin, Qing 7 1997 A class of simple \(C^*\)-algebras with stable rank one. Zbl 1184.46059 Elliott, George A.; Ho, Toan M.; Toms, Andrew S. 7 2009 Decomposition rank of approximately subhomogeneous \(C^*\)-algebras. Zbl 1455.46064 Elliott, George A.; Niu, Zhuang; Santiago, Luis; Tikuisis, Aaron 7 2020 Embedding AW*-algebras as double commutants in type I algebras. Zbl 0523.46035 Elliott, G. A.; Saito, Kazuyuki; Wright, J. D. Maitland 6 1983 On the classification of \(C^*\)-algebras of real rank zero. III: The infinite case. Zbl 0933.46055 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 5 1998 On lifting and extending derivations of approximately finite-dimensional C\(^*\)-algebras. Zbl 0289.46044 Elliott, George A. 5 1974 Small eigenvalue variation and real rank zero. Zbl 0865.46039 Bratteli, Ola; Elliott, George A. 5 1996 A Bott periodicity map for crossed products of C *-algebras by discrete groups. Zbl 0638.46047 Elliott, George A.; Natsume, Toshikazu 5 1987 Are amenable \(C^*\)-algebras classifiable? Zbl 0806.46068 Elliott, George A. 5 1993 A classification of simple limits of dimension drop \(C^*\)-algebras. Zbl 0937.46055 Elliott, George A.; Gong, Guihua; Jiang, Xinhui; Su, Hongbing 5 1997 On Fuglede’s theorem and scalar-type operators. Zbl 0239.47015 Berkson, E.; Dowson, H. R.; Elliott, G. A. 5 1972 Perturbation of Hausdorff moment sequences, and an application to the theory of \(C^*\)-algebras of real rank zero. Zbl 1118.46048 Elliott, George A.; Rørdam, Mikael 5 2006 Ideals and simplicity of crossed products of graph \(C^*\)-algebras by quasi-free actions. Zbl 1378.46044 Elliott, George A.; Fang, Xiaochun 4 2010 Some C\(^*\)-algebras with outer derivations. Zbl 0261.46061 Elliott, George A. 4 1973 The Mackey Borel structure on the spectrum of an approximately finite- dimensional separable \(C^*\)-algebra. Zbl 0369.46055 Elliott, George A. 4 1977 Locality and differential operators on \(C^*\)-algebras. Zbl 0593.46056 Bratteli, Ola; Elliott, George A.; Evans, David E. 4 1986 On the classification of noncommutative tori. II. Zbl 0601.46059 Cuntz, Joachim; Elliott, George A.; Goodman, Frederick M.; Jørgensen, Palle E. T. 4 1985 The characterization of differential operators by locality: Classical flows. Zbl 0606.47048 Bratteli, Ola; Elliott, George A.; Robinson, Derek W. 4 1986 The classification of certain ASH \(C^\ast\)-algebras of real rank zero. Zbl 1492.19004 An, Qingnan; Elliott, George A.; Li, Zhiqiang; Liu, Zhichao 2 2022 On the bundle of KMS state spaces for flows on a \(\mathcal{Z}\)-absorbing \(C^*\)-algebra. Zbl 1501.46057 Elliott, George A.; Sato, Yasuhiko; Thomsen, Klaus 1 2022 The category of ordered Bratteli diagrams. Zbl 1458.37008 Amini, Massoud; Elliott, George A.; Golestani, Nasser 2 2021 The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension. Zbl 1465.46059 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 22 2020 Simple stably projectionless C*-algebras with generalized tracial rank one. Zbl 1460.46052 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 16 2020 Decomposition rank of approximately subhomogeneous \(C^*\)-algebras. Zbl 1455.46064 Elliott, George A.; Niu, Zhuang; Santiago, Luis; Tikuisis, Aaron 7 2020 Certain properties of tracial approximation \(C^*\)-algebras. Zbl 1441.46047 Elliott, George A.; Fan, Qingzhai; Fang, Xiaochun 4 2018 The \({C}^\ast\)-algebra of a minimal homeomorphism of zero mean dimension. Zbl 1410.46046 Elliott, George A.; Niu, Zhuang 31 2017 The classification of simple separable unital \(\mathcal{Z}\)-stable locally ASH algebras. Zbl 1380.46046 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 15 2017 Frames in Hilbert \(C^\ast\)-modules and Morita equivalent \(C^\ast\)-algebras. Zbl 1373.46053 Amini, Massoud; Asadi, Mohammad B.; Elliott, George A.; Khosravi, Fatemeh 7 2017 On the \(KK\)-theory of Elliott-Thomsen algebras. Zbl 1399.19001 An, Qingnan; Elliott, George A. 3 2017 On the classification of simple amenable \(C^*\)-algebras with finite decomposition rank. Zbl 1366.46046 Elliott, George A.; Niu, Zhuang 11 2016 \(K\)-theory of certain purely infinite crossed products. Zbl 1351.46052 Elliott, George A.; Sierakowski, Adam 3 2016 The category of Bratteli diagrams. Zbl 1335.46048 Amini, Massoud; Elliott, George A.; Golestani, Nasser 9 2015 All irrational extended rotation algebras are AF algebras. Zbl 1347.46039 Elliott, George A.; Niu, Zhuang 3 2015 The \(KK\)-lifting problem for dimension drop interval algebras. Zbl 1326.46057 Elliott, George A.; Li, Zhiqiang 1 2015 The isomorphism relation for separable \(C^\ast\)-algebras. Zbl 1298.46047 Elliott, George A.; Farah, Ilijas; Paulsen, Vern I.; Rosendal, Christian; Toms, Andrew S.; Törnquist, Asger 13 2013 On the radius of comparison of a commutative \(C^{\ast}\)-algebra. Zbl 1291.46066 Elliott, George A.; Niu, Zhuang 4 2013 \(C^*\)-algebras, dynamics, and classification. Abstracts from the workshop held October 28 – November 3, 2012. Zbl 1349.00121 1 2012 The cone of lower semicontinuous traces on a C\(^{\ast}\)-algebra. Zbl 1236.46052 Elliott, George A.; Robert, Leonel; Santiago, Luis 53 2011 On inductive limits of type-I C\(^*\)-algebras with one-dimensional spectrum. Zbl 1232.46051 Ciuperca, Alin; Elliott, George A.; Santiago, Luis 12 2011 One-parameter continuous fields of Kirchberg algebras. II. Zbl 1232.46057 Dadarlat, Marius; Elliott, George A.; Niu, Zhuang 4 2011 Towards a theory of classification. Zbl 1186.18001 Elliott, George A. 12 2010 Ideals and simplicity of crossed products of graph \(C^*\)-algebras by quasi-free actions. Zbl 1378.46044 Elliott, George A.; Fang, Xiaochun 4 2010 A class of simple \(C^*\)-algebras with stable rank one. Zbl 1184.46059 Elliott, George A.; Ho, Toan M.; Toms, Andrew S. 7 2009 A remark on orthogonality of elements of a \(C^*\)-algebra. Zbl 1186.46055 Elliott, George A. 2 2009 The Cuntz semigroup as an invariant for C*-algebras. Zbl 1161.46029 Coward, Kristofer T.; Elliott, George A.; Ivanescu, Cristian 84 2008 Regularity properties in the classification program for separable amenable \(C^*\)-algebras. Zbl 1151.46048 Elliott, George A.; Toms, Andrew S. 70 2008 On tracial approximation. Zbl 1137.46035 Elliott, George A.; Niu, Zhuang 31 2008 A remark on invariants for \(C^*\)-algebras of stable rank one. Zbl 1159.46036 Ciuperca, Alin; Elliott, George A. 20 2008 Strong Morita equivalence of higher-dimensional noncommutative tori. II. Zbl 1153.46045 Elliott, George A.; Li, Hanfeng 13 2008 A Hilbert bundle characterization of Hilbert \(C^*\)-modules. Zbl 1154.46033 Elliott, George A.; Kawamura, Katsunori 4 2008 The classification of separable simple \(C^{*}\)-algebras which are inductive limits of continuous-trace \(C^{*}\)-algebras with spectrum homeomorphic to the closed interval \([0,1]\). Zbl 1146.46038 Elliott, George A.; Ivanescu, Cristian 3 2008 On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem. Zbl 1129.46051 Elliott, George A.; Gong, Guihua; Li, Liangqing 75 2007 Morita equivalence of smooth noncommutative tori. Zbl 1137.46030 Elliott, George A.; Li, Hanfeng 13 2007 One-parameter continuous fields of Kirchberg algebras. Zbl 1146.46037 Dadarlat, Marius; Elliott, George A. 10 2007 Hilbert modules over a \(C^*\)-algebra of stable rank one. Zbl 1151.46043 Elliott, George A. 2 2007 A relative double commutant theorem for hereditary sub-\(C^*\)-algebras. Zbl 1168.46038 Elliott, George A.; Kucerovsky, Dan 2 2007 Perturbation of Hausdorff moment sequences, and an application to the theory of \(C^*\)-algebras of real rank zero. Zbl 1118.46048 Elliott, George A.; Rørdam, Mikael 5 2006 Injectivity of the connecting maps in AH inductive limit systems. Zbl 1075.46052 Elliott, George A.; Gong, Guihua; Li, Liangqing 11 2005 Shape equivalence of AH inductive limit systems: cutting down by projections. Zbl 1063.46039 Elliott, George A.; Gong, Guihua; Li, Liangqing 3 2004 An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem. Zbl 1058.46041 Elliott, George A.; Kucerovsky, Dan 45 2001 On the convergence of a sequence of completely positive maps to the identity. Zbl 0962.46041 Elliott, George A. 8 2000 Perforated ordered \(K_0\)-groups. Zbl 0986.46042 Elliott, George A.; Villadsen, Jesper 7 2000 Every approximately transitive amenable action of a locally compact group is a Poisson boundary. Zbl 1006.28015 Elliott, George A.; Giordano, Thierry 1 1999 Approximate divisibility of simple inductive limit \(C^*\)-algebras. Zbl 0933.46054 Elliott, George A.; Gong, Guihua; Li, Liangqing 15 1998 Homotopy of a pair of approximately commuting unitaries in a simple \(C^*\)-algebra. Zbl 0939.46033 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 13 1998 On the classification of \(C^*\)-algebras of real rank zero. IV: Reduction to local spectrum of dimension two. Zbl 0933.46056 Elliott, George A.; Gong, Guihua; Su, Hongbing 8 1998 Outer conjugacy classes of trace scaling automorphisms of stable UHF algebras. Zbl 0973.46049 Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 7 1998 On the classification of \(C^*\)-algebras of real rank zero. III: The infinite case. Zbl 0933.46055 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 5 1998 Simple inductive limits of \(C^*\)-algebras with building blocks from spheres of odd dimension. Zbl 0929.46050 Elliott, George A.; Fang, Xiaochun 3 1998 A classification of certain simple \(C^*\)-algebras. II. Zbl 0954.46035 Elliott, George A. 17 1997 Cut-down method in the inductive limit decomposition of non-commutative tori. II: The degenerate case. Zbl 0880.46049 Elliott, George A.; Lin, Qing 7 1997 A classification of simple limits of dimension drop \(C^*\)-algebras. Zbl 0937.46055 Elliott, George A.; Gong, Guihua; Jiang, Xinhui; Su, Hongbing 5 1997 Classification of inductive limits of the Toeplitz algebra tensored with \(\mathcal K\). Zbl 0906.46045 Elliott, George A.; Evans, David E.; Su, Hongbing 3 1997 On the classification of \(C^*\)-algebras of real rank zero. II. Zbl 0867.46041 Elliott, George A.; Gong, Guihua 113 1996 An invariant for simple \(C^*\)-algebras. Zbl 1206.46046 Elliott, George A. 24 1996 Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras. Zbl 0869.46030 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Pasnicu, Cornel 23 1996 On inductive limits of matrix algebras over the two-torus. Zbl 0847.46032 Elliott, George A.; Gong, Guihua 22 1996 Cut-down method in the inductive limit decomposition of non-commutative tori. Zbl 0857.46046 Elliott, George A.; Lin, Qing 12 1996 The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics. Zbl 0876.58047 Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 8 1996 \(K\)-theoretic classification for inductive limit \(Z_ 2\) actions on AF algebras. Zbl 0869.46037 Elliott, George A.; Su, Hongbing 7 1996 Small eigenvalue variation and real rank zero. Zbl 0865.46039 Bratteli, Ola; Elliott, George A. 5 1996 The classification problem for amenable \(C^*\)-algebras. Zbl 0946.46050 Elliott, George A. 49 1995 Classification of certain infinite simple \(C^*\)-algebras. II. Zbl 0864.46038 Elliott, George A.; Rørdam, Mikael 20 1995 Amenable actions of groups. Zbl 0814.47009 Adams, Scot; Elliott, George A.; Giordano, Thierry 26 1994 The state space of the \(K_ 0\)-group of a simple separable \(C^*\)- algebra. Zbl 0830.46063 Elliott, G. A.; Thomsen, K. 10 1994 Finite group actions on AF algebras obtained by folding the interval. Zbl 0821.46088 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 9 1994 Homomorphisms, homotopies, and approximations by circle algebras. Zbl 0832.55008 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Pasnicu, Cornel 4 1994 Normal elements of a simple \(C^*\)-algebra. Zbl 0807.46073 Elliott, George A. 1 1994 On the classification of \(C^*\)-algebras of real rank zero. Zbl 0809.46067 Elliott, George A. 125 1993 The structure of the irrational rotation \(C^*\)-algebra. Zbl 0847.46034 Elliott, George A.; Evans, David E. 77 1993 A classification of certain simple \(C^*\)-algebras. Zbl 0843.46045 Elliott, George A. 21 1993 The automorphism group of the irrational rotation \(C^*\)-algebra. Zbl 0895.46029 Elliot, George A.; Rørdam, Mikael 16 1993 Reconstructing \(C^*\)-algebras from their Murray von Neumann orders. Zbl 0823.46053 Cignoli, Roberto; Elliott, George A.; Mundici, Daniele 14 1993 The Heisenberg group and \(K\)-theory. Zbl 0803.46076 Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 13 1993 Amenable actions of discrete groups. Zbl 0781.58014 Elliott, George A.; Giordano, T. 7 1993 A characterisation of lattice-ordered Abelian groups. Zbl 0789.06011 Elliott, George A.; Mundici, Daniele 7 1993 Are amenable \(C^*\)-algebras classifiable? Zbl 0806.46068 Elliott, George A. 5 1993 Quasi-product actions of a compact group on a \(C^*\)-algebra. Zbl 0813.46058 Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka 1 1993 A classification of certain simple \(C^*\)-algebras. Zbl 0816.46061 Elliott, George A. 1 1993 Reduction of real rank in inductive limits of \(C^*\)-algebras. Zbl 0738.46027 Blackadar, Bruce; Bratteli, Ola; Elliott, George A.; Kumjian, Alexander 31 1992 Non-commutative spheres. II: Rational rotations. Zbl 0814.46060 Bratteli, O.; Elliott, George A.; Evans, D. E.; Kishimoto, A. 15 1992 AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory. Zbl 0756.46039 Elliott, George A.; Loring, Terry A. 9 1992 An introduction to fractal \(C^*\)-algebras. Zbl 0801.46064 Bratteli, Ola; Elliott, George A. 1 1992 Non-commutative spheres. I. Zbl 0759.46063 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 22 1991 On the classification of inductive limits of inner actions of a compact group. Zbl 0826.46057 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 3 1991 The soft torus. III: The flip. Zbl 0845.46039 Elliott, George A.; Exel, Ruy; Loring, Terry A. 2 1991 Gauss polynomials and the rotation algebra. Zbl 0665.46051 Choi, Man-Duen; Elliott, George A.; Yui, Noriko 60 1990 Fields of generalized power series. Zbl 0676.13010 Elliott, G. A.; Ribenboim, P. 47 1990 Dimension groups with torsion. Zbl 0748.46037 Elliott, George A. 17 1990 Density of the self-adjoint elements with finite spectrum in an irrational rotation \(C^*\)-algebra. Zbl 0743.46070 Choi, Man-Duen; Elliott, George A. 14 1990 Quasi-product actions of a compact abelian group on a \(C^*\)-algebra. Zbl 0653.46062 Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka 9 1989 Addition of \(C^*\)-algebra extensions. Zbl 0685.46042 Elliott, George A.; Handelman, David E. 8 1989 Smooth Lie group actions on non-commutative tori. Zbl 0685.46038 Bratteli, Ola; Elliott, George A.; Goodman, F. M.; Jørgensen, Palle E. T. 3 1989 On Lie algebras of operators. Zbl 0694.46041 Bratteli, Ola; Elliott, George A.; Goodman, F. M.; Jørgensen, Palle E. T. 1 1989 Cyclic cohomology for one-parameter smooth crossed products. Zbl 0655.46054 Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 33 1988 The ideal structure of the multiplier algebra of an AF algebra. Zbl 0637.46062 Elliott, George A. 8 1987 A Bott periodicity map for crossed products of C *-algebras by discrete groups. Zbl 0638.46047 Elliott, George A.; Natsume, Toshikazu 5 1987 On the classification of noncommutative tori. III. Zbl 0631.46055 Brenken, Berndt; Cuntz, Joachim; Elliott, George A.; Nest, Ryszard 4 1987 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 902 Authors 51 Lin, Huaxin 47 Elliott, George A. 28 Kishimoto, Akitaka 25 Bratteli, Ola 24 Ng, Ping Wong 24 Winter, Wilhelm 22 Mundici, Daniele 20 Fang, Xiaochun 19 Rørdam, Mikael 17 Perera, Francesc 16 Dadarlat, Marius 16 Fan, Qingzhai 16 Toms, Andrew S. 15 Kucerovsky, Dan Z. 15 Robert, Leonel 15 Ruiz, Efren 14 Pasnicu, Cornel 14 Phillips, N. Christopher 13 Eilers, Søren 13 Gong, Guihua 13 Niu, Zhuang 13 Thiel, Hannes 13 Tikuisis, Aaron Peter 12 Jørgensen, Palle E. T. 12 Szabó, Gábor 11 Robinson, Derek William 11 White, Stuart Andrew 10 Jiang, Chunlan 10 Lupini, Martino 10 Paykan, Kamal 10 Thomsen, Klaus E. 10 Wei, Changguo 9 Antoine, Ramon 9 Evans, David E. 9 Kellendonk, Johannes 9 Li, Liangqing 8 Farah, Ilijas 8 Farsi, Carla 8 Gardella, Eusebio 8 Giordano, Thierry 8 Handelman, David E. 8 Liu, Zhong-kui 8 Osaka, Hiroyuki 8 Pardo, Enrique 8 Pedersen, Gert Kjærgård 8 Santiago, Luis 8 Sims, Aidan 8 Tomforde, Mark 7 Amini, Massoud 7 Ara, Pere 7 Bellissard, Jean V. 7 Hirshberg, Ilan 7 Hua, Jiajie 7 Moussavi, Ahmad 7 Nawata, Norio 7 Piszczek, Krzysztof 7 Ribenboim, Paulo 7 Walters, Samuel G. 6 Bosa, Joan 6 Brown, Nathanial P. 6 Gabe, James 6 Kerr, David 6 Kirchberg, Eberhard 6 Klimek, Slawomir 6 Laca, Marcelo 6 Liu, Zhichao 6 Loring, Terry A. 6 Mathieu, Martin 6 Matui, Hiroki 6 Mcbride, Matt 6 Pask, David 6 Restorff, Gunnar 6 Sato, Yasuhiko 6 Strung, Karen R. 6 Willett, Rufus 6 Zhang, Shuang 5 Archbold, Robert J. 5 Blackadar, Bruce E. 5 Castillejos, Jorge 5 Christensen, Erik 5 Damanik, David 5 Gillaspy, Elizabeth 5 Goodearl, Kenneth R. 5 Kumjian, Alexander 5 Li, Hanfeng 5 Mazurek, Ryszard 5 Nest, Ryszard 5 Power, Stephen Charles 5 Putnam, Ian F. 5 Raeburn, Iain 5 Saitô, Kazuyuki 5 Sierakowski, Adam J. 5 Vignati, Alessandro 5 Vilalta, Eduard 5 Zhang, Yuanhang 5 Zhao, Xia 4 An, Qingnan 4 Brown, Lawrence Gerald 4 Cantier, Laurent 4 Conti, Roberto ...and 802 more Authors all top 5 Cited in 181 Serials 174 Journal of Functional Analysis 56 Transactions of the American Mathematical Society 51 Communications in Mathematical Physics 46 International Journal of Mathematics 44 Advances in Mathematics 40 Proceedings of the American Mathematical Society 27 Mathematische Annalen 27 Ergodic Theory and Dynamical Systems 24 Rocky Mountain Journal of Mathematics 22 Communications in Algebra 22 Journal of Mathematical Analysis and Applications 21 Journal of Algebra 20 Inventiones Mathematicae 16 Journal of Mathematical Physics 15 Israel Journal of Mathematics 15 Journal of Noncommutative Geometry 14 Journal für die Reine und Angewandte Mathematik 13 Integral Equations and Operator Theory 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 Acta Mathematica Sinica. English Series 11 Journal of Geometry and Physics 11 Canadian Journal of Mathematics 11 Mathematische Zeitschrift 11 \(K\)-Theory 11 Journal of Topology and Analysis 10 Duke Mathematical Journal 10 Glasgow Mathematical Journal 10 Memoirs of the American Mathematical Society 10 Forum Mathematicum 8 Annales de l’Institut Fourier 8 Journal of Pure and Applied Algebra 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Annals of Functional Analysis 7 Reviews in Mathematical Physics 7 Archiv der Mathematik 7 Geometric and Functional Analysis. GAFA 7 Science China. Mathematics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Manuscripta Mathematica 6 Mathematica Scandinavica 6 Tôhoku Mathematical Journal. Second Series 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Journal of Mathematical Sciences (New York) 6 The New York Journal of Mathematics 6 Annals of Mathematics. Second Series 6 Journal of Algebra and its Applications 6 Analysis & PDE 5 Bulletin of the Australian Mathematical Society 5 Letters in Mathematical Physics 5 Studia Mathematica 5 Journal of Soviet Mathematics 5 The Journal of Symbolic Logic 5 Monatshefte für Mathematik 5 Results in Mathematics 5 Abstract and Applied Analysis 5 Annales Henri Poincaré 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Acta Mathematica 4 Illinois Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Chinese Annals of Mathematics. Series B 4 Bulletin of the American Mathematical Society. New Series 4 Russian Journal of Mathematical Physics 4 Positivity 4 Journal of the Australian Mathematical Society 4 Journal of \(K\)-Theory 3 Bulletin of the London Mathematical Society 3 Czechoslovak Mathematical Journal 3 Pacific Journal of Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Topology and its Applications 3 Bulletin of the Korean Mathematical Society 3 Acta Applicandae Mathematicae 3 Annals of Pure and Applied Logic 3 Journal of the Ramanujan Mathematical Society 3 Science in China. Series A 3 Proceedings of the National Academy of Sciences of the United States of America 3 Expositiones Mathematicae 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Frontiers of Mathematics in China 3 Journal of Physics A: Mathematical and Theoretical 3 Operators and Matrices 3 Forum of Mathematics, Sigma 3 Annals of \(K\)-Theory 2 International Journal of Theoretical Physics 2 Journal d’Analyse Mathématique 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Nuclear Physics. B 2 Periodica Mathematica Hungarica 2 Chaos, Solitons and Fractals 2 Algebra Universalis 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Canadian Mathematical Bulletin 2 Colloquium Mathematicum 2 Compositio Mathematica ...and 81 more Serials all top 5 Cited in 52 Fields 941 Functional analysis (46-XX) 177 Operator theory (47-XX) 109 Dynamical systems and ergodic theory (37-XX) 102 \(K\)-theory (19-XX) 82 Associative rings and algebras (16-XX) 81 Quantum theory (81-XX) 72 Order, lattices, ordered algebraic structures (06-XX) 65 Topological groups, Lie groups (22-XX) 58 Mathematical logic and foundations (03-XX) 56 Group theory and generalizations (20-XX) 50 Global analysis, analysis on manifolds (58-XX) 42 General topology (54-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Combinatorics (05-XX) 24 Commutative algebra (13-XX) 23 Measure and integration (28-XX) 22 Category theory; homological algebra (18-XX) 22 Abstract harmonic analysis (43-XX) 18 Probability theory and stochastic processes (60-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Partial differential equations (35-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Algebraic topology (55-XX) 13 Nonassociative rings and algebras (17-XX) 10 Ordinary differential equations (34-XX) 10 Manifolds and cell complexes (57-XX) 9 General algebraic systems (08-XX) 9 Number theory (11-XX) 9 Field theory and polynomials (12-XX) 9 Convex and discrete geometry (52-XX) 7 Difference and functional equations (39-XX) 7 Computer science (68-XX) 6 Algebraic geometry (14-XX) 6 Differential geometry (53-XX) 4 Potential theory (31-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.