Edit Profile (opens in new tab) Carey, Alan L. Compute Distance To: Compute Author ID: carey.alan-l Published as: Carey, A. L.; Carey, Alan L.; Carey, Alan; Carey, A.; Carey, A. L External Links: MGP · Wikidata Documents Indexed: 156 Publications since 1976, including 1 Book 6 Contributions as Editor Co-Authors: 89 Co-Authors with 149 Joint Publications 2,125 Co-Co-Authors all top 5 Co-Authors 12 single-authored 27 Sukochev, Fedor Anatol’evich 23 Rennie, Adam 22 Phillips, John 18 Murray, Michael K. 12 Mathai, Varghese 12 Wang, Bailing 11 Hannabuss, Keith C. 11 Moran, William 9 Gesztesy, Fritz 7 Mickelsson, Jouko 7 Potapov, Denis 6 Evans, David E. 6 Hurst, Charles Angas 6 Levitina, Galina Borisovna 6 O’Brien, D. M. 4 Grosse, Harald 4 Kaad, Jens 4 Zanin, Dmitriy V. 3 Baggett, Lawrence Wasson 3 Benameur, Moulay-Tahar 3 Bouwknegt, Peter G. 3 Farber, Michael S. 3 Gayral, Victor 3 Grundling, Hendrik B. G. S. 3 Jupp, Peter E. 3 Langmann, Edwin 3 Nichols, Roger 3 Zhang, Ruibin 2 Azamov, Nurulla A. 2 Bourne, Chris 2 Eastwood, Michael G. 2 Johnson, Stuart 2 Marcolli, Matilde 2 McCann, Paul J. 2 Palmer, John N. 2 Putnam, Ian F. 2 Ramsay, Arlan B. 2 Rosenberg, Steven 2 Schulz-Baldes, Hermann 2 Stevenson, Danny 2 Tomilov, Yuri 2 Wojciechowski, Krzysztof P. 1 Araki, Huzihiro 1 Barndorff-Nielsen, Ole Eiler 1 Batty, Charles J. K. 1 Baum, Paul Frank 1 Baumgärtel, Hellmut 1 Blæsild, Preben 1 Braverman, Maxim 1 Britz, Thomas 1 Cant, A. 1 Čap, Andreas 1 Carrell, James B. 1 Coulhon, Thierry 1 Cowling, Michael G. 1 Crowley, Diarmuid John 1 Dodds, Peter G. 1 Ellis, William J. 1 Ellwood, David Alexandre 1 Gaffney, J. M. 1 Gover, Ashwin Rod 1 Graham, C. Robin 1 Hume, L. R. 1 Kaniuth, Eberhard 1 Keck, B. W. 1 Klimek, Slawomir 1 Lehrer, Gustav Isaac 1 Lohé, M. A. 1 Mason, Lionel J. 1 Mcnamara, Kristin 1 Mishchenko, Aleksandr Sergeevich 1 Neshveyev, Sergey V. 1 Nest, Ryszard 1 Ohring, Peter 1 Paycha, Sylvie 1 Pearce, Charles Edward Miller 1 Pearce, Paul A. 1 Raeburn, Iain 1 Ratnam, Rishni 1 Robinson, Derek W. 1 Ruijsenaars, Simon N. M. 1 Sedaev, Aleksandr 1 Singer, Michael A. 1 Slovák, Jan 1 Springer, Tonny Albert 1 Sutherland, Colin E. 1 Taylor, Peter Gerrard 1 Thiang, Guo Chuan 1 Thomas, Anthony W. all top 5 Serials 19 Communications in Mathematical Physics 13 Journal of Functional Analysis 12 Letters in Mathematical Physics 6 Advances in Mathematics 5 Journal of Geometry and Physics 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Reports on Mathematical Physics 4 Reviews in Mathematical Physics 4 Canadian Journal of Mathematics 4 Journal für die Reine und Angewandte Mathematik 4 Journal of \(K\)-Theory 3 Journal of Mathematical Physics 3 Acta Applicandae Mathematicae 3 Journal of Spectral Theory 2 Journal of the Australian Mathematical Society, Series B 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 \(K\)-Theory 2 Journal of the Australian Mathematical Society. Series A 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Communications in Contemporary Mathematics 2 Annales Henri Poincaré 2 Australian Mathematical Society Lecture Series 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Hadronic Journal 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 The Australian Mathematical Society Gazette 1 Gazette des Mathématiciens 1 Integral Equations and Operator Theory 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Journal of Operator Theory 1 Differential Geometry and its Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin des Sciences Mathématiques 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Journal of Geometry and Symmetry in Physics 1 Clay Mathematics Proceedings 1 Journal of Noncommutative Geometry 1 Operators and Matrices 1 Electronic Research Announcements in Mathematical Sciences 1 Proceedings of the American Mathematical Society. Series B 1 ESI Lectures in Mathematics and Physics all top 5 Fields 76 Functional analysis (46-XX) 60 Global analysis, analysis on manifolds (58-XX) 54 Quantum theory (81-XX) 32 \(K\)-theory (19-XX) 32 Topological groups, Lie groups (22-XX) 29 Operator theory (47-XX) 14 Algebraic topology (55-XX) 12 Differential geometry (53-XX) 12 Manifolds and cell complexes (57-XX) 10 Abstract harmonic analysis (43-XX) 9 Nonassociative rings and algebras (17-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 General and overarching topics; collections (00-XX) 6 Algebraic geometry (14-XX) 5 Partial differential equations (35-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 1,297 times in 724 Documents Cited by ▼ Year ▼ Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny 87 2002 Spectral flow and Dixmier traces. Zbl 1015.19003Carey, Alan; Phillips, John; Sukochev, Fyodor 50 2003 On fermionic gauge groups, current algebras and Kac-Moody algebras. Zbl 0644.22012Carey, A. L.; Ruijsenaars, S. N. M. 46 1987 Unbounded Fredholm modules and spectral flow. Zbl 0915.46063Carey, Alan; Phillips, John 45 1998 Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A. 42 2009 Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories. Zbl 1088.58018Carey, Alan L.; Johnson, Stuart; Murray, Michael K.; Stevenson, Danny; Wang, Bai-Ling 37 2005 The local index formula in semifinite von Neumann algebras. I: Spectral flow. Zbl 1118.46060Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 36 2006 The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor 35 2007 Index theory for locally compact noncommutative geometries. Zbl 1314.46081Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 30 2014 The Hochschild class of the Chern character for semifinite spectral triples. Zbl 1058.19002Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 28 2004 Dixmier traces and some applications in non-commutative geometry. Zbl 1151.46053Carey, A. L.; Sukochev, F. A. 28 2006 Index theory, gerbes, and Hamiltonian quantization. Zbl 0887.58049Carey, Alan; Mickelsson, Jouko; Murray, Michael 26 1997 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004Carey, Alan; Phillips, John 26 2004 The local index formula in semifinite von Neumann algebras. II: the even case. Zbl 1101.46045Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 26 2006 A non-commutative framework for topological insulators. Zbl 1364.81269Bourne, C.; Carey, A. L.; Rennie, A. 24 2016 Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P. 22 1998 General existence theorems for orthonormal wavelets, an abstract approach. Zbl 0849.42019Baggett, Larry; Carey, Alan; Moran, William; Ohring, Peter 22 1995 Square-integrable representations of non-unimodular groups. Zbl 0327.22008Carey, A. L. 22 1976 Twisted cyclic theory, equivariant \(KK\)-theory and KMS states. Zbl 1218.19002Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam 22 2011 Holonomy on \(D\)-branes. Zbl 1092.81055Carey, Alan L.; Johnson, Stuart; Murray, Michael K. 21 2004 Automorphisms of the canonical anticommutation relations and index theory. Zbl 0498.46051Carey, A. L.; Hurst, C. A.; O’Brien, D. M. 21 1982 Bundle gerbes applied to quantum field theory. Zbl 0961.81127Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K. 21 2000 An analytic approach to spectral flow in von Neumann algebras. Zbl 1119.58016Benameur, Moulay-Tahar; Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.; Wojciechowski, Krzysztof P. 20 2006 The universal Gerbe, Dixmier-Douady class, and gauge theory. Zbl 1003.58022Carey, Alan L.; Mickelsson, Jouko 17 2002 \(L^ 2\)-torsion invariants. Zbl 0771.57009Carey, Alan L.; Mathai, Varghese 17 1992 Integration on locally compact noncommutative spaces. Zbl 1251.46036Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 17 2012 The bulk-edge correspondence for the quantum Hall effect in Kasparov theory. Zbl 1325.81199Bourne, Chris; Carey, Alan L.; Rennie, Adam 16 2015 Thom isomorphism and push-forward map in twisted K-theory. Zbl 1204.55006Carey, Alan L.; Wang, Bai-Ling 15 2008 The spectral shift function and spectral flow. Zbl 1129.58008Azamov, N. A.; Carey, A. L.; Sukochev, F. A. 14 2007 Group representations in reproducing kernel Hilbert spaces. Zbl 0418.22004Carey, A. L. 13 1978 Some homogeneous spaces and representations of the Hilbert Lie group \({\mathcal U}(H)_ 2\). Zbl 0581.22019Carey, A. L. 12 1985 On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039Carey, A. L.; Phillips, J.; Sukochev, F. A. 12 2000 Differential twisted K-theory and applications. Zbl 1173.19003Carey, Alan L.; Mickelsson, Jouko; Wang, Bai-Ling 11 2009 A note on the Boson-Fermion correspondence and infinite dimensional groups. Zbl 0577.46067Carey, A. L.; Hurst, C. A. 11 1985 Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index. Zbl 0532.47011Carey, A. L.; O’Brien, D. M. 11 1983 String structures and the path fibration of a group. Zbl 0734.55006Carey, A. L.; Murray, M. K. 10 1991 Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra \(O_{n}\). Zbl 1220.19004Carey, A. L.; Phillips, J.; Rennie, A. 9 2010 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031Carey, A.; Farber, M.; Mathai, V. 9 1997 Infinite complex spin groups. Zbl 0714.22015Carey, Alan; Palmer, John 9 1989 Characters of nilpotent groups. Zbl 0549.43004Carey, A. L.; Moran, W. 9 1984 The Chern character of semifinite spectral triples. Zbl 1157.46045Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 9 2008 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 8 2005 Faddeev’s anomaly and bundle gerbes. Zbl 0848.22024Carey, A. L.; Murray, M. K. 8 1996 On \({\mathcal O}_{n+1}\). Zbl 0562.46033Araki, H.; Carey, A. L.; Evans, D. E. 8 1984 Temperature states on loop groups, theta functions and the Luttinger model. Zbl 0633.46068Carey, A. L.; Hannabuss, K. C. 8 1987 Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in \(KK\)-theory. Zbl 1207.46062Carey, A. L.; Phillips, J.; Rennie, A. 8 2010 Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann 8 2019 Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators. Zbl 1217.58016Carey, Alan; Potapov, Denis; Sukochev, Fedor 8 2009 On the Witten index in terms of spectral shift functions. Zbl 1481.47012Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 8 2017 On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 7 2018 Higher bundle gerbes and cohomology classes in gauge theories. Zbl 0884.55004Carey, A. L.; Murray, M. K.; Wang, B. L. 7 1997 Spectral triples: examples and index theory. Zbl 1252.58004Carey, Alan L.; Phillips, John; Rennie, Adam 7 2011 Measurable operators and the asymptotics of heat kernels and zeta functions. Zbl 1270.46059Carey, Alan; Sukochev, Fedor 7 2012 Induced representations, reproducing kernels and the conformal group. Zbl 0339.43007Carey, A. L. 7 1977 Fusion of symmetric D-branes and Verlinde rings. Zbl 1161.53069Carey, Alan L.; Wang, Bai-Ling 7 2008 Absence of vacuum polarisation in Fock space. Zbl 0515.46074Carey, A. L.; O’Brien, D. M. 7 1982 A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary. Zbl 1038.58027Carey, Alan; Mickelsson, Jouko 7 2000 Spectral flow invariants and twisted cyclic theory for the Haar state on \(SU_q(2)\). Zbl 1175.46064Carey, A. L.; Rennie, A.; Tong, K. 7 2009 Principal bundles and the Dixmier Douady class. Zbl 0909.57007Carey, Alan L.; Crowley, Diarmuid; Murray, Michael K. 6 1998 Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571Carey, A.; Hannabuss, K.; Mathai, V. 6 1999 A \(C^*\)-algebra formulation of the quantization of the electromagnetic field. Zbl 0348.46056Carey, A. L.; Gaffney, J. M.; Hurst, C. A. 6 1977 Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor. Zbl 0732.46039Carey, Alan L.; Phillips, John 6 1991 Infinite dimensional groups and quantum field theory. Zbl 0545.22019Carey, A. L. 6 1983 Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy 6 2016 Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002Benameur, Moulay-Tahar; Carey, Alan L. 6 2013 Quantum Hall effect and noncommutative geometry. Zbl 1104.81088Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese 5 2006 Loop groups, anyons and the Calogero-Sutherland model. Zbl 1044.81708Carey, Alan L.; Langmann, Edwin 5 1999 Modular index invariants of Mumford curves. Zbl 1270.46065Carey, Alan; Marcolli, Matilde; Rennie, Adam 5 2011 On the problem of the amenability of the gauge group. Zbl 1079.43003Carey, Alan; Grundling, Hendrik 5 2004 Loop groups and quantum fields. Zbl 1042.81080Carey, Alan L.; Langmann, Edwin 5 2002 The Pompeiu problem for groups. Zbl 0717.22003Carey, Alan L.; Kaniuth, Eberhard; Moran, William 5 1991 Spectral flow for nonunital spectral triples. Zbl 1365.46065Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A. 5 2015 A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 5 2014 Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026Carey, Alan; Grosse, Harald; Kaad, Jens 4 2015 Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J. 4 1997 Holonomy and the Wess-Zumino term. Zbl 0623.58027Carey, A. L.; Murray, M. K. 4 1986 On characteristic identities for Lie algebras. Zbl 0359.17003O’Brien, D. M.; Cant, A.; Carey, A. L. 4 1977 Twistors and geometric quantisation theory. Zbl 0406.58018Carey, A. L.; Hannabuss, K. C. 4 1978 Riemann surfaces, Clifford algebras and infinite dimensional groups. Zbl 0721.30034Carey, A. L.; Eastwood, M. G.; Hannabuss, K. C. 4 1990 Quantum group actions on the Cuntz algebra. Zbl 0974.17013Carey, A. L.; Paolucci, A.; Zhang, R. B. 4 2000 Some infinite dimensional groups and bundles. Zbl 0575.46059Carey, A. L. 4 1984 Semifinite spectral triples associated with graph \(C^*\)-algebras. Zbl 1159.46040Carey, Alan L.; Phillips, John; Rennie, Adam 4 2008 On an automorphic action of U(n,1) on \({\mathcal O}_ n\). Zbl 0615.46062Carey, Alan L.; Evans, David E. 4 1987 A Dirac type operator on the non-commutative disk. Zbl 1206.46058Carey, Alan L.; Klimek, Sławomir; Wojciechowski, Krzysztof P. 4 2010 Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\). Zbl 1217.46039Carey, A. L.; Phillips, J.; Putnam, I. F.; Rennie, A. 4 2011 Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy 4 2016 On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. Zbl 1384.47006Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima 4 2016 Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory. Zbl 0823.46064Carey, A. L.; Grundling, H.; Raeburn, I.; Sutherland, C. 3 1995 A discrete model of the integer quantum Hall effect. Zbl 0858.46048McCann, Paul J.; Carey, Alan L. 3 1996 \(K\)-cycles for twisted \(K\)-homology. Zbl 1300.19003Baum, Paul; Carey, Alan; Wang, Bai-Ling 3 2013 The operator algebras of the two-dimensional Ising model. Zbl 0691.46052Carey, Alan L.; Evans, David E. 3 1988 Algebras almost commuting with Clifford algebras. Zbl 0725.46042Carey, A. L.; Evans, D. E. 3 1990 Hilbert \(C^*\)-systems for actions of the circle group. Zbl 1008.46025Baumgaertel, H.; Carey, A. L. 3 2001 The Landau-Lifshitz equation, elliptic curves and the Ward transform. Zbl 0774.35071Carey, A. L.; Hannabuss, K. C.; Mason, L. J.; Singer, M. A. 3 1993 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023Carey, A.; Farber, M.; Mathai, V. 3 2000 On the index of a non-Fredholm model operator. Zbl 1356.47018Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 3 2016 Topological invariance of the homological index. Zbl 1461.47004Carey, Alan; Kaad, Jens 3 2017 The geometric triangle for 3-dimensional Seiberg-Witten monopoles. Zbl 1038.58006Carey, A. L.; Marcolli, M.; Wang, B. L. 2 2003 Seiberg-Witten-Floer homology and gluing formulae. Zbl 1041.57013Carey, Alan L.; Wang, Bai Ling 2 2003 Realizing \(3\)-cocycles as obstructions. Zbl 0847.17019Carey, A. L.; Grundling, H.; Hurst, C. A.; Langmann, E. 2 1995 The product formula for regularized Fredholm determinants. Zbl 07326419Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 1 2021 The Fermi gerbe of Weyl semimetals. Zbl 1478.81016Carey, Alan; Thiang, Guo Chuan 1 2021 Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann 8 2019 Spectral flow of monopole insertion in topological insulators. Zbl 1422.81102Carey, Alan L.; Schulz-Baldes, Hermann 1 2019 On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 7 2018 On the Witten index in terms of spectral shift functions. Zbl 1481.47012Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 8 2017 Topological invariance of the homological index. Zbl 1461.47004Carey, Alan; Kaad, Jens 3 2017 A non-commutative framework for topological insulators. Zbl 1364.81269Bourne, C.; Carey, A. L.; Rennie, A. 24 2016 Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy 6 2016 Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy 4 2016 On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. Zbl 1384.47006Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima 4 2016 On the index of a non-Fredholm model operator. Zbl 1356.47018Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 3 2016 The spectral shift function and the Witten index. Zbl 06981831Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor 1 2016 Double operator integral methods applied to continuity of spectral shift functions. Zbl 06694723Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 1 2016 The bulk-edge correspondence for the quantum Hall effect in Kasparov theory. Zbl 1325.81199Bourne, Chris; Carey, Alan L.; Rennie, Adam 16 2015 Spectral flow for nonunital spectral triples. Zbl 1365.46065Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A. 5 2015 Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026Carey, Alan; Grosse, Harald; Kaad, Jens 4 2015 Index theory for locally compact noncommutative geometries. Zbl 1314.46081Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 30 2014 A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri 5 2014 Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002Benameur, Moulay-Tahar; Carey, Alan L. 6 2013 \(K\)-cycles for twisted \(K\)-homology. Zbl 1300.19003Baum, Paul; Carey, Alan; Wang, Bai-Ling 3 2013 The local index formula in noncommutative geometry revisited. Zbl 1297.19007Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fedor A. 2 2013 Integration on locally compact noncommutative spaces. Zbl 1251.46036Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A. 17 2012 Measurable operators and the asymptotics of heat kernels and zeta functions. Zbl 1270.46059Carey, Alan; Sukochev, Fedor 7 2012 Twisted cyclic theory, equivariant \(KK\)-theory and KMS states. Zbl 1218.19002Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam 22 2011 Spectral triples: examples and index theory. Zbl 1252.58004Carey, Alan L.; Phillips, John; Rennie, Adam 7 2011 Modular index invariants of Mumford curves. Zbl 1270.46065Carey, Alan; Marcolli, Matilde; Rennie, Adam 5 2011 Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\). Zbl 1217.46039Carey, A. L.; Phillips, J.; Putnam, I. F.; Rennie, A. 4 2011 Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra \(O_{n}\). Zbl 1220.19004Carey, A. L.; Phillips, J.; Rennie, A. 9 2010 Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in \(KK\)-theory. Zbl 1207.46062Carey, A. L.; Phillips, J.; Rennie, A. 8 2010 A Dirac type operator on the non-commutative disk. Zbl 1206.46058Carey, Alan L.; Klimek, Sławomir; Wojciechowski, Krzysztof P. 4 2010 Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Zbl 1205.00080 1 2010 Riemann-Roch and index formulae in twisted \(K\)-theory. Zbl 1210.81080Carey, Alan L.; Wang, Bai-Ling 1 2010 Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A. 42 2009 Differential twisted K-theory and applications. Zbl 1173.19003Carey, Alan L.; Mickelsson, Jouko; Wang, Bai-Ling 11 2009 Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators. Zbl 1217.58016Carey, Alan; Potapov, Denis; Sukochev, Fedor 8 2009 Spectral flow invariants and twisted cyclic theory for the Haar state on \(SU_q(2)\). Zbl 1175.46064Carey, A. L.; Rennie, A.; Tong, K. 7 2009 Thom isomorphism and push-forward map in twisted K-theory. Zbl 1204.55006Carey, Alan L.; Wang, Bai-Ling 15 2008 The Chern character of semifinite spectral triples. Zbl 1157.46045Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 9 2008 Fusion of symmetric D-branes and Verlinde rings. Zbl 1161.53069Carey, Alan L.; Wang, Bai-Ling 7 2008 Semifinite spectral triples associated with graph \(C^*\)-algebras. Zbl 1159.46040Carey, Alan L.; Phillips, John; Rennie, Adam 4 2008 The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor 35 2007 The spectral shift function and spectral flow. Zbl 1129.58008Azamov, N. A.; Carey, A. L.; Sukochev, F. A. 14 2007 The local index formula in semifinite von Neumann algebras. I: Spectral flow. Zbl 1118.46060Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 36 2006 Dixmier traces and some applications in non-commutative geometry. Zbl 1151.46053Carey, A. L.; Sukochev, F. A. 28 2006 The local index formula in semifinite von Neumann algebras. II: the even case. Zbl 1101.46045Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 26 2006 An analytic approach to spectral flow in von Neumann algebras. Zbl 1119.58016Benameur, Moulay-Tahar; Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.; Wojciechowski, Krzysztof P. 20 2006 Quantum Hall effect and noncommutative geometry. Zbl 1104.81088Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese 5 2006 On the relationship of gerbes to the odd families index theorem. Zbl 1105.58015Carey, Alan L.; Wang, Bai-Ling 1 2006 Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories. Zbl 1088.58018Carey, Alan L.; Johnson, Stuart; Murray, Michael K.; Stevenson, Danny; Wang, Bai-Ling 37 2005 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 8 2005 The Hochschild class of the Chern character for semifinite spectral triples. Zbl 1058.19002Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 28 2004 Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004Carey, Alan; Phillips, John 26 2004 Holonomy on \(D\)-branes. Zbl 1092.81055Carey, Alan L.; Johnson, Stuart; Murray, Michael K. 21 2004 On the problem of the amenability of the gauge group. Zbl 1079.43003Carey, Alan; Grundling, Hendrik 5 2004 Spectral flow and Dixmier traces. Zbl 1015.19003Carey, Alan; Phillips, John; Sukochev, Fyodor 50 2003 The geometric triangle for 3-dimensional Seiberg-Witten monopoles. Zbl 1038.58006Carey, A. L.; Marcolli, M.; Wang, B. L. 2 2003 Seiberg-Witten-Floer homology and gluing formulae. Zbl 1041.57013Carey, Alan L.; Wang, Bai Ling 2 2003 Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny 87 2002 The universal Gerbe, Dixmier-Douady class, and gauge theory. Zbl 1003.58022Carey, Alan L.; Mickelsson, Jouko 17 2002 Loop groups and quantum fields. Zbl 1042.81080Carey, Alan L.; Langmann, Edwin 5 2002 Hilbert \(C^*\)-systems for actions of the circle group. Zbl 1008.46025Baumgaertel, H.; Carey, A. L. 3 2001 Bundle gerbes applied to quantum field theory. Zbl 0961.81127Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K. 21 2000 On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039Carey, A. L.; Phillips, J.; Sukochev, F. A. 12 2000 A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary. Zbl 1038.58027Carey, Alan; Mickelsson, Jouko 7 2000 Quantum group actions on the Cuntz algebra. Zbl 0974.17013Carey, A. L.; Paolucci, A.; Zhang, R. B. 4 2000 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023Carey, A.; Farber, M.; Mathai, V. 3 2000 Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571Carey, A.; Hannabuss, K.; Mathai, V. 6 1999 Loop groups, anyons and the Calogero-Sutherland model. Zbl 1044.81708Carey, Alan L.; Langmann, Edwin 5 1999 Unbounded Fredholm modules and spectral flow. Zbl 0915.46063Carey, Alan; Phillips, John 45 1998 Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P. 22 1998 Principal bundles and the Dixmier Douady class. Zbl 0909.57007Carey, Alan L.; Crowley, Diarmuid; Murray, Michael K. 6 1998 Von Neumann spectra near the spectral gap. Zbl 0911.58034Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Geometric analysis and Lie theory in mathematics and physics. Zbl 0878.00016 1 1998 Index theory, gerbes, and Hamiltonian quantization. Zbl 0887.58049Carey, Alan; Mickelsson, Jouko; Murray, Michael 26 1997 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031Carey, A.; Farber, M.; Mathai, V. 9 1997 Higher bundle gerbes and cohomology classes in gauge theories. Zbl 0884.55004Carey, A. L.; Murray, M. K.; Wang, B. L. 7 1997 Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J. 4 1997 Faddeev’s anomaly and bundle gerbes. Zbl 0848.22024Carey, A. L.; Murray, M. K. 8 1996 A discrete model of the integer quantum Hall effect. Zbl 0858.46048McCann, Paul J.; Carey, Alan L. 3 1996 Infinite dimensional groups and Riemann surface field theories. Zbl 0849.22021Carey, A. L.; Hannabuss, K. C. 1 1996 General existence theorems for orthonormal wavelets, an abstract approach. Zbl 0849.42019Baggett, Larry; Carey, Alan; Moran, William; Ohring, Peter 22 1995 Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory. Zbl 0823.46064Carey, A. L.; Grundling, H.; Raeburn, I.; Sutherland, C. 3 1995 Realizing \(3\)-cocycles as obstructions. Zbl 0847.17019Carey, A. L.; Grundling, H.; Hurst, C. A.; Langmann, E. 2 1995 A Kirillov theory for divisible nilpotent groups. Zbl 0832.20054Carey, A. L.; Moran, W.; Pearce, C. E. M. 1 1995 The Landau-Lifshitz equation, elliptic curves and the Ward transform. Zbl 0774.35071Carey, A. L.; Hannabuss, K. C.; Mason, L. J.; Singer, M. A. 3 1993 \(L^ 2\)-torsion invariants. Zbl 0771.57009Carey, Alan L.; Mathai, Varghese 17 1992 Finite-dimensional algebraic representations of the infinite phylon group. Zbl 0761.53012Barndorff-Nielsen, O. E.; Blæsild, P.; Carey, A. L.; Jupp, P. E.; Mora, M.; Murray, M. K. 2 1992 Temperature states on gauge groups. Zbl 0769.46052Carey, A. L.; Hannabuss, K. C. 2 1992 Multiple phases and return to equilibrium. Zbl 0889.46060Carey, A. L.; Hume, L. R. 1 1992 Free fields on Riemann surfaces and spectral curves of the chiral Potts model. Zbl 1102.81312Carey, A. L.; Hannabuss, K. C.; Murray, M. K. 1 1992 String structures and the path fibration of a group. Zbl 0734.55006Carey, A. L.; Murray, M. K. 10 1991 Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor. Zbl 0732.46039Carey, Alan L.; Phillips, John 6 1991 The Pompeiu problem for groups. Zbl 0717.22003Carey, Alan L.; Kaniuth, Eberhard; Moran, William 5 1991 Non-monomial multiplier representations of abelian groups. Zbl 0743.22004Baggett, L. W.; Carey, A. L.; Moran, William; Ramsay, Arlan 1 1991 Riemann surfaces, Clifford algebras and infinite dimensional groups. Zbl 0721.30034Carey, A. L.; Eastwood, M. G.; Hannabuss, K. C. 4 1990 Algebras almost commuting with Clifford algebras. Zbl 0725.46042Carey, A. L.; Evans, D. E. 3 1990 Higher-order tensors, strings and new tensors. Zbl 0712.53013Carey, A. L.; Murray, M. K. 2 1990 Simple examples of conformal field theories. Zbl 0769.46053Carey, A. L.; Hannabuss, K. C. 1 1990 L\({}^ 2\)-acyclicity and \(L^ 2\)-torsion invariants. Zbl 0726.57018Mathai, Varghese; Carey, Alan L. 1 1990 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 653 Authors 78 Sukochev, Fedor Anatol’evich 70 Carey, Alan L. 35 Mathai, Varghese 35 Rennie, Adam 27 Zanin, Dmitriy V. 19 Potapov, Denis 16 Mickelsson, Jouko 14 Langmann, Edwin 14 Murray, Michael K. 14 Sati, Hisham 13 Hannabuss, Keith C. 13 Wang, Bailing 12 Phillips, John 12 Schulz-Baldes, Hermann 12 Usachev, Aleksandr Sergeevich 12 Waldorf, Konrad 11 Skripka, Anna 10 Gesztesy, Fritz 9 Levitina, Galina Borisovna 9 Szabo, Richard J. 8 Gomi, Kiyonori 8 Mesland, Bram 8 Schreiber, Urs 7 Bourne, Chris 7 Grosse, Harald 7 Hekmati, Pedram 7 Iochum, Bruno 7 Kaad, Jens 7 Semënov, Evgeniĭ Mikhaĭlovich 7 Stevenson, Danny 7 Thiang, Guo Chuan 6 Benameur, Moulay-Tahar 6 Bunk, Severin 6 Connes, Alain 6 De Nittis, Giuseppe 6 Goffeng, Magnus 6 Grundling, Hendrik B. G. S. 6 Jørgensen, Palle E. T. 6 Klimek, Slawomir 6 Léandre, Rémi 6 Lord, Steven 6 Marcolli, Matilde 6 Sims, Aidan 6 Vozzo, Raymond F. 5 Andruchow, Esteban 5 Azamov, Nurulla A. 5 Baggett, Lawrence Wasson 5 Chiumiento, Eduardo 5 Evans, David E. 5 Gawȩdzki, Krzysztof 5 Gayral, Victor 5 Le Merdy, Christian 5 Mcbride, Matt 5 Packer, Judith A. 5 Peller, Vladimir Vsevolodovich 5 Sedaev, Alexander A. 5 Su, Guangxiang 5 Tomskova, Anna 5 Várilly, Joseph C. 4 Aleksandrov, Aleksei B. 4 Beltiţă, Daniel 4 Bouwknegt, Peter G. 4 Coine, Clement 4 Conti, Roberto 4 Guido, Daniele 4 Han, Fei 4 Hurst, Charles Angas 4 Isola, Tommaso 4 Kaniuth, Eberhard 4 Kellendonk, Johannes 4 Larotonda, Gabriel 4 McDonald, Edward Andrew 4 Merrill, Kathy D. 4 Moran, William 4 Nest, Ryszard 4 Palmer, John N. 4 Sakbaev, Vsevolod Zhanovich 4 Sitarz, Andrzej 4 van Suijlekom, Walter Daniël 3 Aiello, Valeriano 3 Aniello, Paolo 3 Arici, Francesca 3 Azzali, Sara 3 Bédos, Erik 3 Bunke, Ulrich 3 Carrillo-Rouse, Paulo 3 Chattopadhyay, Arup 3 Eckhardt, Caleb 3 Evslin, Jarah 3 Farsi, Carla 3 Fidaleo, Francesco 3 Fiorenza, Domenico 3 Freed, Daniel Stuart 3 Gabriel, Olivier 3 Gillaspy, Elizabeth 3 Grady, Daniel 3 Hayashi, Shin 3 Ion, D. B. 3 Junge, Marius 3 Jurčo, Branislav ...and 553 more Authors all top 5 Cited in 139 Serials 88 Communications in Mathematical Physics 80 Journal of Functional Analysis 54 Journal of Geometry and Physics 40 Journal of Mathematical Physics 33 Advances in Mathematics 23 Reviews in Mathematical Physics 23 Proceedings of the American Mathematical Society 23 Journal of Noncommutative Geometry 22 Letters in Mathematical Physics 12 Integral Equations and Operator Theory 11 The Journal of Fourier Analysis and Applications 10 Journal of Mathematical Analysis and Applications 10 Transactions of the American Mathematical Society 10 Annales Henri Poincaré 8 Acta Applicandae Mathematicae 8 Annales de l’Institut Henri Poincaré. Physique Théorique 8 Journal of the Australian Mathematical Society 8 SIGMA. 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English Series 2 Banach Journal of Mathematical Analysis 2 Kyoto Journal of Mathematics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 General Relativity and Gravitation 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Physics Letters. B 1 Russian Mathematical Surveys 1 Studia Mathematica 1 The Mathematical Intelligencer 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Mathematica Scandinavica 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. 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Serie VII 1 Bulletin of the Korean Mathematical Society 1 Annals of Global Analysis and Geometry ...and 39 more Serials all top 5 Cited in 50 Fields 283 Functional analysis (46-XX) 242 Quantum theory (81-XX) 205 Global analysis, analysis on manifolds (58-XX) 142 Operator theory (47-XX) 112 Differential geometry (53-XX) 109 \(K\)-theory (19-XX) 109 Topological groups, Lie groups (22-XX) 67 Algebraic topology (55-XX) 66 Manifolds and cell complexes (57-XX) 44 Statistical mechanics, structure of matter (82-XX) 39 Abstract harmonic analysis (43-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 29 Algebraic geometry (14-XX) 24 Partial differential equations (35-XX) 22 Nonassociative rings and algebras (17-XX) 22 Category theory; homological algebra (18-XX) 22 Relativity and gravitational theory (83-XX) 21 Group theory and generalizations (20-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Probability theory and stochastic processes (60-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Functions of a complex variable (30-XX) 8 Number theory (11-XX) 7 Measure and integration (28-XX) 7 Sequences, series, summability (40-XX) 6 Convex and discrete geometry (52-XX) 6 General topology (54-XX) 6 Numerical analysis (65-XX) 5 Potential theory (31-XX) 5 Mechanics of particles and systems (70-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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