×

zbMATH — the first resource for mathematics

Bratteli, Ola

Compute Distance To:
Author ID: bratteli.ola Recent zbMATH articles by "Bratteli, Ola"
Published as: Brateli, Ola; Bratteli, O.; Bratteli, Ola
External Links: MGP · Wikidata · MacTutor
Documents Indexed: 121 Publications since 1972, including 15 Books
Biographic References: 1 Publication
all top 5

Serials

16 Journal of Functional Analysis
14 Communications in Mathematical Physics
6 Ergodic Theory and Dynamical Systems
5 Journal of Operator Theory
4 Transactions of the American Mathematical Society
4 Texts and Monographs in Physics
3 Mathematica Scandinavica
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Memoirs of the American Mathematical Society
2 Proceedings of the London Mathematical Society. Third Series
2 Acta Applicandae Mathematicae
1 Journal of the Australian Mathematical Society, Series B
1 Letters in Mathematical Physics
1 Nonlinearity
1 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of Differential Equations
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Tohoku Mathematical Journal. Second Series
1 Yokohama Mathematical Journal
1 \(K\)-Theory
1 International Journal of Mathematics
1 The Journal of Geometric Analysis
1 Applied and Computational Harmonic Analysis
1 Annals of Mathematics. Second Series
1 The Quarterly Journal of Mathematics
1 Lecture Notes in Mathematics
1 Theta Series in Advanced Mathematics
1 Abel Symposia
1 Applied and Numerical Harmonic Analysis

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 2,249 times in 1,653 Documents Cited by Year
Operator algebras and quantum statistical mechanics 1. C*- and W*- algebras, symmetry groups, decomposition of states. Zbl 0421.46048
Bratteli, Ola; Robinson, Derek W.
381
1979
Operator algebras and quantum statistical mechanics. II: Equilibrium states. Models in quantum statistical mechanics. Zbl 0463.46052
Bratteli, Ola; Robinson, Derek W.
314
1981
Operator algebras and quantum statistical mechanics. 1. \(C^*\)- and \(W^*\)-algebras, symmetry groups, decomposition of states. 2nd ed. Zbl 0905.46046
Bratteli, Ola; Robinson, Derek W.
225
1987
Inductive limits of finite dimensional C\(^*\)-algebras. Zbl 0264.46057
Bratteli, Ola
216
1972
Operator algebras and quantum statistical mechanics. 2: Equilibrium states. Models in quantum statistical mechanics. 2nd ed. Zbl 0903.46066
Bratteli, Ola; Robinson, Derek W.
197
1997
Iterated function systems and permutation representations of the Cuntz algebra. Zbl 0935.46057
Bratteli, Ola; Jørgensen, Palle E. T.
55
1999
Unbounded derivations of \(C^*\)-algebras. Zbl 0302.46043
Bratteli, Ola; Robinson, Derek W.
42
1975
Wavelets through a looking glass. The world of the spectrum. Zbl 1012.42023
Bratteli, Ola; Jorgensen, Palle
41
2002
Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\). Zbl 0897.46054
Bratteli, Ola; Jørgensen, Palle E. T.
35
1997
Derivations, dissipations and group actions on \(C^ *\)-algebras. Zbl 0607.46035
Bratteli, Ola
35
1986
Reduction of real rank in inductive limits of \(C^*\)-algebras. Zbl 0738.46027
Blackadar, Bruce; Bratteli, Ola; Elliott, George A.; Kumjian, Alexander
28
1992
Pure states on \({\mathcal O}_{d}\). Zbl 0992.46044
Bratteli, O.; Jørgensen, P. E. T.; Kishimoto, A.; Werner, R. F.
25
2000
Endomorphisms of \(\mathcal{B(H)}\). II: Finitely correlated states on \(\mathcal{O}_n\). Zbl 0897.46051
Bratteli, Ola; Jørgensen, Palle E. T.
22
1997
Crossed products of UHF algebras by product type actions. Zbl 0395.46048
Bratteli, Ola
22
1979
The crossed product of a UHF algebra by a shift. Zbl 0816.46067
Bratteli, Ola; Størmer, Erling; Kishimoto, Akitaka; Rørdam, Mikael
21
1993
Unbounded derivations tangential to compact groups of automorphisms. Zbl 0485.46035
Bratteli, Ola; Jørgensen, Palle E. T.
19
1982
Stability properties and the KMS condition. Zbl 0392.46039
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
19
1978
Unbounded derivations of \(C^*\)-algebras II. Zbl 0315.46053
Bratteli, Ola; Robinson, Derek W.
19
1976
Wavelet filters and infinite-dimensional unitary groups. Zbl 1026.46060
Bratteli, Ola; Jorgensen, Palle E. T.
17
2002
Non-commutative spheres. I. Zbl 0759.46063
Bratteli, Ola; Elliott, George A.; Evans, David E.; Kishimoto, Akitaka
17
1991
Decomposition of unbounded derivations into invariant and approximately inner parts. Zbl 0515.46057
Bratteli, Ola; Elliott, George A.; Jørgensen, Palle E. T.
17
1984
Unbounded derivations of von Neumann algebras. Zbl 0332.46043
Bratteli, Ola; Robinson, Derek W.
17
1976
Non-commutative spheres. III: Irrational rotations. Zbl 0772.46040
Bratteli, Ola; Kishimoto, Akitaka
16
1992
Endomorphisms of \({\mathcal B(H)}\). Zbl 0860.46042
Bratteli, Ola; Jørgensen, Palle E. T.; Price, Geoffrey L.
15
1996
On the possible temperatures of a dynamical system. Zbl 0437.46059
Bratteli, Ola; Elliott, George A.; Herman, Richard H.
14
1980
Structure spaces of approximately finite-dimensional C*-algebras. II. Zbl 0406.46047
Bratteli, Ola; Elliot, George A.
14
1978
The Rohlin property for quasi-free automorphisms of the fermion algebra. Zbl 0927.46045
Bratteli, Ola; Evans, David E.; Kishimoto, Akitaka
13
1995
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
12
1998
Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups. Zbl 1007.46046
Bratteli, Ola; Jørgensen, Palle E.; Kim, Ki Hang; Roush, Fred
11
2002
Compactly supported wavelets and representations of the Cuntz relations. Zbl 0960.42013
Bratteli, Ola; Evans, David E.; Jørgensen, Palle E. T.
11
2000
The temperature state space of a C*-dynamical system. I. Zbl 0466.46057
Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka
11
1980
Non-stationarity of isomorphism between \(AF\) algebras defined by stationary Bratteli diagrams. Zbl 0982.46042
Bratteli, Ola; Jørgensen, Palle E. T.; Kim, Ki Hang; Roush, Fred
10
2000
Unbounded derivations tangential to compact groups of automorphisms. II. Zbl 0576.46050
Bratteli, Ola; Goodman, Frederick M.; Jørgensen, Palle E. T.
10
1985
Derivations commuting with abelian gauge actions on lattice systems. Zbl 0508.46045
Bratteli, Ola; Jørgensen, Palle E. T.
10
1982
Positivity and monotonicity properties of \(C_ 0-\)semigroups. I. Zbl 0453.47020
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
10
1980
Structure spaces of approximately finite-dimensional C\(^*\)-algebras. Zbl 0279.46034
Bratteli, Ola
10
1974
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
Non-commutative spheres. II: Rational rotations. Zbl 0814.46060
Bratteli, O.; Elliott, George A.; Evans, D. E.; Kishimoto, A.
9
1992
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
Strong topological transitivity and \(C^*\)-dynamical systems. Zbl 0593.46054
Bratteli, Ola; Elliott, George A.
9
1985
Dynamical semigroups commuting with compact Abelian actions. Zbl 0528.46051
Bratteli, Ola; Evans, David E.
9
1983
Positive \(C_ 0-\)semigroups on C*-algebras. Zbl 0485.46033
Bratteli, Ola; Robinson, Derek W.
9
1981
Generation of semigroups, and two-dimensional quantum lattice systems. Zbl 0428.47023
Bratteli, Ola; Kishimoto, Akitaka
9
1980
Greens functions, Hamiltonians and modular automorphisms. Zbl 0332.46044
Bratteli, Ola; Robinson, Derek W.
9
1976
Computation of isomorphism invariants for stationary dimension groups. Zbl 1067.46060
Bratteli, Ola; Jørgensen, Palle E. T.; Kim, Ki Hang; Roush, Fred
8
2002
The heat semigroup and integrability of Lie algebras. Zbl 0662.22009
Bratteli, Ola; Goodman, Frederick M.; Jørgensen, Palle E. T.; Robinson, Derek W.
8
1988
Operator algebras and quantum statistical mechanics. C*- and W*-algebras, symmetry groups, decomposition of states. (Operatornye algebry i kvantovaya statisticheskaya mekhanika. C*- i W*-algebry, gruppy simmetrij, razlozhenie sostoyanij). Transl. from the English by A. B. Bulinskij. Zbl 0523.46043
Bratteli, Ola; Robinson, Derek W.
8
1982
Ground states of quantum spin systems. Zbl 0399.46052
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
8
1978
The center of approximately finite-dimensional \(C^*\)-algebras. Zbl 0315.46051
Bratteli, Ola
8
1976
Representation theory and numerical AF-invariants. The representations and centralizers of certain states on \(\mathcal O_d\). Zbl 1060.46048
Bratteli, Ola; Jørgensen, Palle E. T.; Ostrovs’kyĭ, Vasyl’
7
2004
Trace scaling automorphisms of certain stable AF algebras. II. Zbl 1032.46531
Bratteli, Ola; Kishimoto, Akitaka
7
2000
A dichotomy for derivations on \({\mathcal O}_ n\). Zbl 0611.46064
Bratteli, Ola; Evans, David E.; Goodman, Frederick M.; Jørgensen, Palle E. T.
7
1986
Derivations tangential to compact groups: The non-Abelian case. Zbl 0593.46053
Bratteli, Ola; Evans, David E.
7
1986
Positive semigroups on ordered Banach spaces. Zbl 0514.46045
Bratteli, Ola; Digernes, Trond; Robinson, Derek W.
7
1983
Relaxing the clustering condition in the derivation of the KMS property. Zbl 0315.46052
Bratteli, Ola; Kastler, Daniel
7
1976
Crossed products of totally disconnected spaces by \(\mathbb{Z}_ 2*\mathbb{Z}_ 2\). Zbl 0819.46049
Bratteli, Ola; Evans, David E.; Kishimoto, Akitaka
6
1993
Unitary representations of Lie groups and Gårding’s inequality. Zbl 0683.47029
Bratteli, Ola; Goodman, Fred M.; Jørgensen, Palle E. T.; Robinson, Derek W.
6
1989
Derivations tangential to compact group actions: spectral conditions in the weak closure. Zbl 0568.46050
Bratteli, Ola; Goodman, Frederick M.
6
1985
Approximately inner derivations. Zbl 1168.46041
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
5
2008
Rohlin flows on the Cuntz algebra \(\mathcal O_\infty\). Zbl 1125.46055
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
5
2007
Convergence of the cascade algorithm at irregular scaling functions. Zbl 0958.42018
Bratteli, Ola; Jørgensen, Palle E. T.
5
1999
Spectral asymptotics of periodic elliptic operators. Zbl 0942.43004
Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W.
5
1999
Embedding product type actions into C *-dynamical systems. Zbl 0636.46058
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
5
1987
The temperature state space of a \(C^ *\)-dynamical system. II. Zbl 0602.46067
Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka
5
1986
A \(C^*\)-algebraic Schoenberg theorem. Zbl 0536.46046
Bratteli, O.; Jørgensen, Palle E. T.; Kishimoto, A.; Robinson, D. W.
5
1984
Unbounded *-derivations and infinitesimal generators on operator algebras. Zbl 0498.46049
Bratteli, Ola; Jørgensen, Palle E. T.
5
1982
Homogeneity of the pure state space of the Cuntz algebra. Zbl 0978.46042
Bratteli, Ola; Kishimoto, Akitaka
4
2000
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
4
1998
Small eigenvalue variation and real rank zero. Zbl 0865.46039
Bratteli, Ola; Elliott, George A.
4
1996
Subelliptic operators on Lie groups: Variable coefficients. Zbl 0842.43005
Bratteli, Ola; Robinson, Derek W.
4
1996
Relative locality of derivations. Zbl 0548.46049
Bratteli, Ola; Digernes, Trond; Robinson, Derek W.
4
1984
AF flows and continuous symmetries. Zbl 1030.46086
Bratteli, O.; Kishimoto, A.
3
2001
Abundance of invariant and almost invariant pure states of \(C^*\)-dynamical systems. Zbl 0898.46057
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
3
1997
Asymptotics of periodic subelliptic operators. Zbl 0861.43005
Batty, Charles J. K.; Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W.
3
1995
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
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
The characterization of differential operators by locality: Classical flows. Zbl 0606.47048
Bratteli, Ola; Elliott, George A.; Robinson, Derek W.
3
1986
Derivations and free group actions on \(C^*\)-algebras. Zbl 0597.46068
Bratteli, Ola; Kishimoto, Akitaka
3
1986
Locality and differential operators on \(C^*\)-algebras. Zbl 0593.46056
Bratteli, Ola; Elliott, George A.; Evans, David E.
3
1986
Integration in Abelian \(C^*\)-dynamical systems. Zbl 0593.46055
Bratteli, Ola; Digernes, Trond; Goodman, Frederick; Robinson, Derek W.
3
1985
Equilibrium states of a Bose gas with repulsive interactions. Zbl 0445.46047
Bratteli, Ola; Robinson, Derek W.
3
1980
A connection between multiresolution wavelet theory of scale \(N\) and representations of the Cuntz algebra \({\mathcal O}_N\). Zbl 0915.46048
Bratteli, Ola; Jørgensen, Palle E. T.
2
1997
Almost shift invariant projections in infinite tensor products. Zbl 0840.46041
Bratteli, Ola; Evans, David E.; Kishimoto, Akitaka
2
1993
The heat semigroup, derivations, and Reynold’s identity. Zbl 0706.46051
Batty, Charles J. K.; Bratteli, Ola; Robinson, Derek W.
2
1988
On dynamical semigroups and compact group actions. Zbl 0542.46035
Bratteli, Ola
2
1984
On temperature states and phase transitions in C*-dynamical systems. Zbl 0528.46050
Bratteli, O.
2
1984
Unbounded derivations tangential to compact groups of automorphisms. Zbl 0469.46049
Bratteli, Ola; Jørgensen, Palle E. T.
2
1981
Unbounded derivations of operator algebras. Zbl 0429.46039
Bratteli, Ola
2
1979
Unbounded derivations and invariant states. Zbl 0374.46057
Bratteli, Ola; Haagerup, Uffe
2
1978
Perturbations of flows on Banach spaces and operator algebras. Zbl 0369.46063
Bratteli, Ola; Herman, Richard H.; Robinson, Derek W.
2
1978
Self-adjointness of unbounded derivations on \(C^*\)-algebras. Zbl 0362.46041
Bratteli, Ola
2
1976
Unbounded derivations and invariant trace states. Zbl 0315.46054
Bratteli, Ola; Robinson, Derek W.
2
1976
Operator algebras. The Abel symposium 2004. Proceedings of the first Abel symposium, Oslo, Norway, September 3–5, 2004. Zbl 1097.46001
Bratteli, Ola (ed.); Neshveyev, Sergey (ed.); Skau, Christian (ed.)
1
2006
Quasi-product actions of a compact group on a \(C^*\)-algebra. Zbl 0813.46058
Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka
1
1993
An introduction to fractal \(C^*\)-algebras. Zbl 0801.46064
Bratteli, Ola; Elliott, George A.
1
1992
Second-order elliptic operators and heat kernels on Lie groups. Zbl 0739.22009
Bratteli, Ola; Robinson, Derek W.
1
1991
On Lie algebras of operators. Zbl 0694.46041
Bratteli, Ola; Elliott, George A.; Goodman, F. M.; Jørgensen, Palle E. T.
1
1989
Conservative derivations and dissipative Laplacians. Zbl 0686.46039
Bratteli, Ola; Jørgensen, Palle E. T.
1
1989
Locality and differential operators on \(C^*\)-algebras. II. Zbl 0568.46051
Bratteli, Ola; Digernes, Trond; Elliott, George A.
1
1985
Positive semigroups of operators and applications: Editors’ introduction. Zbl 0542.47030
Bratteli, Ola; Jørgensen, Palle E. T.
1
1984
Approximately inner derivations. Zbl 1168.46041
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
5
2008
Rohlin flows on the Cuntz algebra \(\mathcal O_\infty\). Zbl 1125.46055
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
5
2007
Operator algebras. The Abel symposium 2004. Proceedings of the first Abel symposium, Oslo, Norway, September 3–5, 2004. Zbl 1097.46001
Bratteli, Ola (ed.); Neshveyev, Sergey (ed.); Skau, Christian (ed.)
1
2006
Representation theory and numerical AF-invariants. The representations and centralizers of certain states on \(\mathcal O_d\). Zbl 1060.46048
Bratteli, Ola; Jørgensen, Palle E. T.; Ostrovs’kyĭ, Vasyl’
7
2004
Wavelets through a looking glass. The world of the spectrum. Zbl 1012.42023
Bratteli, Ola; Jorgensen, Palle
41
2002
Wavelet filters and infinite-dimensional unitary groups. Zbl 1026.46060
Bratteli, Ola; Jorgensen, Palle E. T.
17
2002
Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups. Zbl 1007.46046
Bratteli, Ola; Jørgensen, Palle E.; Kim, Ki Hang; Roush, Fred
11
2002
Computation of isomorphism invariants for stationary dimension groups. Zbl 1067.46060
Bratteli, Ola; Jørgensen, Palle E. T.; Kim, Ki Hang; Roush, Fred
8
2002
AF flows and continuous symmetries. Zbl 1030.46086
Bratteli, O.; Kishimoto, A.
3
2001
Pure states on \({\mathcal O}_{d}\). Zbl 0992.46044
Bratteli, O.; Jørgensen, P. E. T.; Kishimoto, A.; Werner, R. F.
25
2000
Compactly supported wavelets and representations of the Cuntz relations. Zbl 0960.42013
Bratteli, Ola; Evans, David E.; Jørgensen, Palle E. T.
11
2000
Non-stationarity of isomorphism between \(AF\) algebras defined by stationary Bratteli diagrams. Zbl 0982.46042
Bratteli, Ola; Jørgensen, Palle E. T.; Kim, Ki Hang; Roush, Fred
10
2000
Trace scaling automorphisms of certain stable AF algebras. II. Zbl 1032.46531
Bratteli, Ola; Kishimoto, Akitaka
7
2000
Homogeneity of the pure state space of the Cuntz algebra. Zbl 0978.46042
Bratteli, Ola; Kishimoto, Akitaka
4
2000
Iterated function systems and permutation representations of the Cuntz algebra. Zbl 0935.46057
Bratteli, Ola; Jørgensen, Palle E. T.
55
1999
Convergence of the cascade algorithm at irregular scaling functions. Zbl 0958.42018
Bratteli, Ola; Jørgensen, Palle E. T.
5
1999
Spectral asymptotics of periodic elliptic operators. Zbl 0942.43004
Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W.
5
1999
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
12
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
4
1998
Operator algebras and quantum statistical mechanics. 2: Equilibrium states. Models in quantum statistical mechanics. 2nd ed. Zbl 0903.46066
Bratteli, Ola; Robinson, Derek W.
197
1997
Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\). Zbl 0897.46054
Bratteli, Ola; Jørgensen, Palle E. T.
35
1997
Endomorphisms of \(\mathcal{B(H)}\). II: Finitely correlated states on \(\mathcal{O}_n\). Zbl 0897.46051
Bratteli, Ola; Jørgensen, Palle E. T.
22
1997
Abundance of invariant and almost invariant pure states of \(C^*\)-dynamical systems. Zbl 0898.46057
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
3
1997
A connection between multiresolution wavelet theory of scale \(N\) and representations of the Cuntz algebra \({\mathcal O}_N\). Zbl 0915.46048
Bratteli, Ola; Jørgensen, Palle E. T.
2
1997
Endomorphisms of \({\mathcal B(H)}\). Zbl 0860.46042
Bratteli, Ola; Jørgensen, Palle E. T.; Price, Geoffrey L.
15
1996
Small eigenvalue variation and real rank zero. Zbl 0865.46039
Bratteli, Ola; Elliott, George A.
4
1996
Subelliptic operators on Lie groups: Variable coefficients. Zbl 0842.43005
Bratteli, Ola; Robinson, Derek W.
4
1996
The Rohlin property for quasi-free automorphisms of the fermion algebra. Zbl 0927.46045
Bratteli, Ola; Evans, David E.; Kishimoto, Akitaka
13
1995
Asymptotics of periodic subelliptic operators. Zbl 0861.43005
Batty, Charles J. K.; Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W.
3
1995
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
The crossed product of a UHF algebra by a shift. Zbl 0816.46067
Bratteli, Ola; Størmer, Erling; Kishimoto, Akitaka; Rørdam, Mikael
21
1993
Crossed products of totally disconnected spaces by \(\mathbb{Z}_ 2*\mathbb{Z}_ 2\). Zbl 0819.46049
Bratteli, Ola; Evans, David E.; Kishimoto, Akitaka
6
1993
Almost shift invariant projections in infinite tensor products. Zbl 0840.46041
Bratteli, Ola; Evans, David E.; Kishimoto, Akitaka
2
1993
Quasi-product actions of a compact group on a \(C^*\)-algebra. Zbl 0813.46058
Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka
1
1993
Reduction of real rank in inductive limits of \(C^*\)-algebras. Zbl 0738.46027
Blackadar, Bruce; Bratteli, Ola; Elliott, George A.; Kumjian, Alexander
28
1992
Non-commutative spheres. III: Irrational rotations. Zbl 0772.46040
Bratteli, Ola; Kishimoto, Akitaka
16
1992
Non-commutative spheres. II: Rational rotations. Zbl 0814.46060
Bratteli, O.; Elliott, George A.; Evans, D. E.; Kishimoto, 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
17
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
Second-order elliptic operators and heat kernels on Lie groups. Zbl 0739.22009
Bratteli, Ola; Robinson, Derek W.
1
1991
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
Unitary representations of Lie groups and Gårding’s inequality. Zbl 0683.47029
Bratteli, Ola; Goodman, Fred M.; Jørgensen, Palle E. T.; Robinson, Derek W.
6
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
Conservative derivations and dissipative Laplacians. Zbl 0686.46039
Bratteli, Ola; Jørgensen, Palle E. T.
1
1989
The heat semigroup and integrability of Lie algebras. Zbl 0662.22009
Bratteli, Ola; Goodman, Frederick M.; Jørgensen, Palle E. T.; Robinson, Derek W.
8
1988
The heat semigroup, derivations, and Reynold’s identity. Zbl 0706.46051
Batty, Charles J. K.; Bratteli, Ola; Robinson, Derek W.
2
1988
Operator algebras and quantum statistical mechanics. 1. \(C^*\)- and \(W^*\)-algebras, symmetry groups, decomposition of states. 2nd ed. Zbl 0905.46046
Bratteli, Ola; Robinson, Derek W.
225
1987
Embedding product type actions into C *-dynamical systems. Zbl 0636.46058
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
5
1987
Derivations, dissipations and group actions on \(C^ *\)-algebras. Zbl 0607.46035
Bratteli, Ola
35
1986
A dichotomy for derivations on \({\mathcal O}_ n\). Zbl 0611.46064
Bratteli, Ola; Evans, David E.; Goodman, Frederick M.; Jørgensen, Palle E. T.
7
1986
Derivations tangential to compact groups: The non-Abelian case. Zbl 0593.46053
Bratteli, Ola; Evans, David E.
7
1986
The temperature state space of a \(C^ *\)-dynamical system. II. Zbl 0602.46067
Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka
5
1986
The characterization of differential operators by locality: Classical flows. Zbl 0606.47048
Bratteli, Ola; Elliott, George A.; Robinson, Derek W.
3
1986
Derivations and free group actions on \(C^*\)-algebras. Zbl 0597.46068
Bratteli, Ola; Kishimoto, Akitaka
3
1986
Locality and differential operators on \(C^*\)-algebras. Zbl 0593.46056
Bratteli, Ola; Elliott, George A.; Evans, David E.
3
1986
Unbounded derivations tangential to compact groups of automorphisms. II. Zbl 0576.46050
Bratteli, Ola; Goodman, Frederick M.; Jørgensen, Palle E. T.
10
1985
Strong topological transitivity and \(C^*\)-dynamical systems. Zbl 0593.46054
Bratteli, Ola; Elliott, George A.
9
1985
Derivations tangential to compact group actions: spectral conditions in the weak closure. Zbl 0568.46050
Bratteli, Ola; Goodman, Frederick M.
6
1985
Integration in Abelian \(C^*\)-dynamical systems. Zbl 0593.46055
Bratteli, Ola; Digernes, Trond; Goodman, Frederick; Robinson, Derek W.
3
1985
Locality and differential operators on \(C^*\)-algebras. II. Zbl 0568.46051
Bratteli, Ola; Digernes, Trond; Elliott, George A.
1
1985
Decomposition of unbounded derivations into invariant and approximately inner parts. Zbl 0515.46057
Bratteli, Ola; Elliott, George A.; Jørgensen, Palle E. T.
17
1984
A \(C^*\)-algebraic Schoenberg theorem. Zbl 0536.46046
Bratteli, O.; Jørgensen, Palle E. T.; Kishimoto, A.; Robinson, D. W.
5
1984
Relative locality of derivations. Zbl 0548.46049
Bratteli, Ola; Digernes, Trond; Robinson, Derek W.
4
1984
On dynamical semigroups and compact group actions. Zbl 0542.46035
Bratteli, Ola
2
1984
On temperature states and phase transitions in C*-dynamical systems. Zbl 0528.46050
Bratteli, O.
2
1984
Positive semigroups of operators and applications: Editors’ introduction. Zbl 0542.47030
Bratteli, Ola; Jørgensen, Palle E. T.
1
1984
Positive semigroups of operators and applications. Zbl 0529.47024
Jørgensen, Palle E. T.; Bratteli, Ola
1
1984
Dynamical semigroups commuting with compact Abelian actions. Zbl 0528.46051
Bratteli, Ola; Evans, David E.
9
1983
Positive semigroups on ordered Banach spaces. Zbl 0514.46045
Bratteli, Ola; Digernes, Trond; Robinson, Derek W.
7
1983
Unbounded derivations tangential to compact groups of automorphisms. Zbl 0485.46035
Bratteli, Ola; Jørgensen, Palle E. T.
19
1982
Derivations commuting with abelian gauge actions on lattice systems. Zbl 0508.46045
Bratteli, Ola; Jørgensen, Palle E. T.
10
1982
Operator algebras and quantum statistical mechanics. C*- and W*-algebras, symmetry groups, decomposition of states. (Operatornye algebry i kvantovaya statisticheskaya mekhanika. C*- i W*-algebry, gruppy simmetrij, razlozhenie sostoyanij). Transl. from the English by A. B. Bulinskij. Zbl 0523.46043
Bratteli, Ola; Robinson, Derek W.
8
1982
Unbounded *-derivations and infinitesimal generators on operator algebras. Zbl 0498.46049
Bratteli, Ola; Jørgensen, Palle E. T.
5
1982
A remark on extensions of quasi-free derivations on the CAR-algebra. Zbl 0514.46046
Bratteli, Ola
1
1982
Derivations commuting with abelian gauge actions on lattice systems. Zbl 0485.46034
Bratteli, Ola; Jørgensen, Palle E. T.
1
1982
Decomposition of unbounded derivations into invariant and approximately inner parts. Zbl 0484.46055
Bratteli, Ola; Elliott, George A.; Jørgensen, Palle E. T.
1
1982
Operator algebras and quantum statistical mechanics. II: Equilibrium states. Models in quantum statistical mechanics. Zbl 0463.46052
Bratteli, Ola; Robinson, Derek W.
314
1981
Positive \(C_ 0-\)semigroups on C*-algebras. Zbl 0485.46033
Bratteli, Ola; Robinson, Derek W.
9
1981
Unbounded derivations tangential to compact groups of automorphisms. Zbl 0469.46049
Bratteli, Ola; Jørgensen, Palle E. T.
2
1981
On C*-dynamical systems and equilibrium states. Zbl 0457.46053
Bratteli, Ola
1
1981
On the possible temperatures of a dynamical system. Zbl 0437.46059
Bratteli, Ola; Elliott, George A.; Herman, Richard H.
14
1980
The temperature state space of a C*-dynamical system. I. Zbl 0466.46057
Bratteli, Ola; Elliott, George A.; Kishimoto, Akitaka
11
1980
Positivity and monotonicity properties of \(C_ 0-\)semigroups. I. Zbl 0453.47020
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
10
1980
Generation of semigroups, and two-dimensional quantum lattice systems. Zbl 0428.47023
Bratteli, Ola; Kishimoto, Akitaka
9
1980
Equilibrium states of a Bose gas with repulsive interactions. Zbl 0445.46047
Bratteli, Ola; Robinson, Derek W.
3
1980
Operator algebras and quantum statistical mechanics 1. C*- and W*- algebras, symmetry groups, decomposition of states. Zbl 0421.46048
Bratteli, Ola; Robinson, Derek W.
381
1979
Crossed products of UHF algebras by product type actions. Zbl 0395.46048
Bratteli, Ola
22
1979
Unbounded derivations of operator algebras. Zbl 0429.46039
Bratteli, Ola
2
1979
Stability properties and the KMS condition. Zbl 0392.46039
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
19
1978
Structure spaces of approximately finite-dimensional C*-algebras. II. Zbl 0406.46047
Bratteli, Ola; Elliot, George A.
14
1978
Ground states of quantum spin systems. Zbl 0399.46052
Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W.
8
1978
Unbounded derivations and invariant states. Zbl 0374.46057
Bratteli, Ola; Haagerup, Uffe
2
1978
Perturbations of flows on Banach spaces and operator algebras. Zbl 0369.46063
Bratteli, Ola; Herman, Richard H.; Robinson, Derek W.
2
1978
Quasianalytic vectors and derivations of operator algebras. Zbl 0344.46124
Bratteli, Ola; Herman, Richard H.; Robinson, Derek W.
1
1977
Unbounded derivations of \(C^*\)-algebras II. Zbl 0315.46053
Bratteli, Ola; Robinson, Derek W.
19
1976
Unbounded derivations of von Neumann algebras. Zbl 0332.46043
Bratteli, Ola; Robinson, Derek W.
17
1976
Greens functions, Hamiltonians and modular automorphisms. Zbl 0332.46044
Bratteli, Ola; Robinson, Derek W.
9
1976
The center of approximately finite-dimensional \(C^*\)-algebras. Zbl 0315.46051
Bratteli, Ola
8
1976
...and 6 more Documents
all top 5

Cited by 1,426 Authors

95 Jørgensen, Palle E. T.
45 Bratteli, Ola
44 Kishimoto, Akitaka
39 Robinson, Derek W.
24 Elliott, George A.
18 Evans, David E.
18 Mukhamedov, Farruh Maksutovich
17 Laca, Marcelo
17 Longo, Roberto
17 Raeburn, Iain
16 Dutkay, Dorin Ervin
16 Nachtergaele, Bruno
16 Sakbaev, Vsevolod Zhanovich
15 Narnhofer, Heide
14 Fidaleo, Francesco
14 Sukochev, Fedor Anatol’evich
14 Thomsen, Klaus E.
14 Trapani, Camillo
13 Buchholz, Detlev
13 Merkli, Marco
13 Ogata, Yoshiko
13 Werner, Reinhard F.
12 Carey, Alan L.
12 Petz, Dénes
12 Pinamonti, Nicola
12 Sims, Robert L.
11 Accardi, Luigi
11 Batty, Charles J. K.
11 Bru, Jean-Bernard
11 Mundici, Daniele
11 Packer, Judith A.
10 Inoue, Atsushi
10 Kawamura, Katsunori
10 Larsen, Nadia S.
10 Marcolli, Matilde
10 Pasnicu, Cornel
10 Sims, Aidan
10 Verbeure, André F.
9 Antoine, Jean-Pierre
9 Connes, Alain
9 Fannes, Mark
9 Fröhlich, Jürg Martin
9 Lin, Huaxin
9 Matsui, Taku
9 Park, Yong Moon
9 Pillet, Claude-Alain
9 Price, Geoffrey L.
9 Rørdam, Mikael
8 Bagarello, Fabio
8 De Siqueira Pedra, Walter
8 Hiai, Fumio
8 Jakšić, Vojkan
8 Moretti, Valter
8 Peligrad, Costel
8 Pinto, Paulo R. F.
8 Zagrebnov, Valentin A.
7 Albeverio, Sergio A.
7 Benatti, Fabio
7 Duvenhage, Rocco
7 Goodman, Frederick M.
7 Jäkel, Christian D.
7 Kissin, Edward V.
7 Labuschagne, Louis E.
7 Naaijkens, Pieter
7 Olkiewicz, Robert
7 Pedersen, Gert Kjærgård
7 Silvestrov, Sergei D.
7 Triolo, Salvatore
6 Baggett, Lawrence Wasson
6 Bezuglyi, Sergey I.
6 Correia Ramos, Carlos
6 Dvurečenskij, Anatolij
6 Merrill, Kathy D.
6 Miyao, Tadahiro
6 Ohya, Masanori
6 Ojima, Izumi
6 Paolucci, Anna Maria
6 Phillips, N. Christopher
6 Ramagge, Jacqui
6 Rédei, Miklós
6 Szabó, Gábor J.
6 Szymański, Wojciech
6 Tanimoto, Yoh
6 Thirring, Walter E.
6 Tian, Feng
6 Wreszinski, Walter F.
5 an Huef, Astrid
5 Araki, Huzihiro
5 Baskakov, Anatoliĭ Grigor’evich
5 Coburn, Lewis A.
5 Conti, Roberto
5 Drago, Nicolò
5 Farsi, Carla
5 Fraas, Martin
5 Fredenhagen, Klaus
5 Goderis, D.
5 Gonçalves, Daniel
5 Grundling, Hendrik B. G. S.
5 Hillier, Robin
5 Izumi, Masaki
...and 1,326 more Authors
all top 5

Cited in 226 Serials

205 Communications in Mathematical Physics
201 Journal of Functional Analysis
78 Journal of Mathematical Physics
60 Journal of Statistical Physics
49 Journal of Mathematical Analysis and Applications
46 Letters in Mathematical Physics
45 Reports on Mathematical Physics
40 Transactions of the American Mathematical Society
39 Annales Henri Poincaré
37 Publications of the Research Institute for Mathematical Sciences, Kyoto University
33 Proceedings of the American Mathematical Society
25 Annales de l’Institut Henri Poincaré. Physique Théorique
24 Advances in Mathematics
22 International Journal of Theoretical Physics
21 Reviews in Mathematical Physics
21 Acta Applicandae Mathematicae
20 Annals of Physics
19 Integral Equations and Operator Theory
18 Journal of Geometry and Physics
18 Mathematische Annalen
17 International Journal of Mathematics
16 Ergodic Theory and Dynamical Systems
15 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
14 Theoretical and Mathematical Physics
12 Journal of Algebra
11 Rocky Mountain Journal of Mathematics
11 Mathematische Zeitschrift
10 Infinite Dimensional Analysis, Quantum Probability and Related Topics
10 Complex Analysis and Operator Theory
9 Israel Journal of Mathematics
9 Inventiones Mathematicae
8 Mathematical Notes
8 Journal of Soviet Mathematics
8 \(K\)-Theory
8 Linear Algebra and its Applications
8 Foundations of Physics
8 Journal of Noncommutative Geometry
7 Nuclear Physics. B
7 Physics Letters. A
7 Semigroup Forum
7 Probability Theory and Related Fields
7 Journal of Mathematical Sciences (New York)
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
6 Duke Mathematical Journal
6 The Journal of Fourier Analysis and Applications
6 International Journal of Geometric Methods in Modern Physics
5 Physics Reports
5 Annales de l’Institut Fourier
5 Archiv der Mathematik
5 Journal of Differential Equations
5 Journal für die Reine und Angewandte Mathematik
5 Memoirs of the American Mathematical Society
5 Tohoku Mathematical Journal. Second Series
5 Abstract and Applied Analysis
5 Advances in Mathematical Physics
5 Science China. Mathematics
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
4 Physica A
4 Ukrainian Mathematical Journal
4 The Annals of Probability
4 Functional Analysis and its Applications
4 Illinois Journal of Mathematics
4 Journal of Approximation Theory
4 Monatshefte für Mathematik
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Bulletin of the American Mathematical Society. New Series
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Expositiones Mathematicae
4 Mathematical Physics, Analysis and Geometry
4 Algebras and Representation Theory
4 Acta Mathematica Sinica. English Series
4 Journal of High Energy Physics
4 Lobachevskii Journal of Mathematics
4 Journal of Applied Mathematics and Computing
3 Bulletin of the Australian Mathematical Society
3 Studia Mathematica
3 Mathematics of Computation
3 Acta Mathematica
3 Journal of Pure and Applied Algebra
3 Mathematische Nachrichten
3 Numerical Functional Analysis and Optimization
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Advances in Applied Mathematics
3 Forum Mathematicum
3 Russian Mathematics
3 Potential Analysis
3 Discrete and Continuous Dynamical Systems
3 Journal of Mathematical Chemistry
3 Stochastic Models
3 Quantum Information Processing
3 Mediterranean Journal of Mathematics
3 Advances in Difference Equations
3 Proceedings of the Steklov Institute of Mathematics
3 Banach Journal of Mathematical Analysis
3 Eurasian Mathematical Journal
2 Journal d’Analyse Mathématique
2 Linear and Multilinear Algebra
2 Physics Letters. B
...and 126 more Serials
all top 5

Cited in 57 Fields

1,037 Functional analysis (46-XX)
540 Quantum theory (81-XX)
394 Operator theory (47-XX)
327 Statistical mechanics, structure of matter (82-XX)
121 Probability theory and stochastic processes (60-XX)
99 Dynamical systems and ergodic theory (37-XX)
93 Topological groups, Lie groups (22-XX)
74 Harmonic analysis on Euclidean spaces (42-XX)
74 Global analysis, analysis on manifolds (58-XX)
56 Partial differential equations (35-XX)
48 Information and communication theory, circuits (94-XX)
47 Measure and integration (28-XX)
42 Relativity and gravitational theory (83-XX)
39 Group theory and generalizations (20-XX)
37 Abstract harmonic analysis (43-XX)
35 Nonassociative rings and algebras (17-XX)
28 Order, lattices, ordered algebraic structures (06-XX)
27 Mathematical logic and foundations (03-XX)
27 Differential geometry (53-XX)
26 General topology (54-XX)
25 Combinatorics (05-XX)
25 Associative rings and algebras (16-XX)
24 Number theory (11-XX)
24 \(K\)-theory (19-XX)
22 Numerical analysis (65-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Category theory; homological algebra (18-XX)
12 Statistics (62-XX)
11 Algebraic geometry (14-XX)
11 Mechanics of particles and systems (70-XX)
10 Difference and functional equations (39-XX)
10 Approximations and expansions (41-XX)
10 Computer science (68-XX)
9 Ordinary differential equations (34-XX)
9 Convex and discrete geometry (52-XX)
9 Manifolds and cell complexes (57-XX)
8 Functions of a complex variable (30-XX)
8 Algebraic topology (55-XX)
7 Potential theory (31-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Optics, electromagnetic theory (78-XX)
5 History and biography (01-XX)
5 Real functions (26-XX)
5 Special functions (33-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Systems theory; control (93-XX)
4 General and overarching topics; collections (00-XX)
4 Biology and other natural sciences (92-XX)
3 Fluid mechanics (76-XX)
2 General algebraic systems (08-XX)
2 Commutative algebra (13-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Operations research, mathematical programming (90-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Astronomy and astrophysics (85-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.