The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Dynamical entropy ofC* algebras and von Neumann algebras
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Citations
Cites
Thermodynamic Formalism: The Mathematical Structure of Equilibrium Statistical Mechanics
Ruelle, D. (2004) · Cambridge University Press eBooks · doi:10.1017/cbo9780511617546 · Cited by 859
Proof of the strong subadditivity of quantum-mechanical entropy
Lieb, E. H., & Ruskai, M. B. (1973) · Journal of Mathematical Physics · doi:10.1063/1.1666274 · Cited by 831
The ergodic theory of AxiomA flows
Bowen, R., & Ruelle, D. P. (1975) · Inventiones mathematicae · doi:10.1007/bf01389848 · Cited by 665
Convex trace functions and the Wigner-Yanase-Dyson conjecture
Lieb, E. H. (1973) · Advances in Mathematics · doi:10.1016/0001-8708(73)90011-x · Cited by 653
The Ergodic Theory of Axiom A Flows
Bowen, R., & Ruelle, D. P. (1975) · Springer eBooks · doi:10.1007/978-0-387-21830-4_5 · Cited by 584
Injectivity and operator spaces
Choi, M.-D., & Effros, E. G. (1977) · Journal of Functional Analysis · doi:10.1016/0022-1236(77)90052-0 · Cited by 513
The Completely Positive Lifting Problem for C ∗ -algebras
Choi, M.-D., & Effros, E. G. (1976) · Annals of Mathematics · doi:10.2307/1970968 · Cited by 275
Conditional expectations in von Neumann algebras and a theorem of Takesaki
Accardi, L., & Cecchini, C. (1982) · Journal of Functional Analysis · doi:10.1016/0022-1236(82)90022-2 · Cited by 256
Gibbs states of a one dimensional quantum lattice
Araki, H. (1969) · Communications in Mathematical Physics · doi:10.1007/bf01645134 · Cited by 252
Entropy for automorphisms of II1 von neumann algebras
Connes, A., & Størmer, E. (1975) · Acta Mathematica · doi:10.1007/bf02392105 · Cited by 180
Self-citationRelative Hamiltonian for Faithful Normal States of a von Neumann Algebra
Araki, H. (1973) · Publications of the Research Institute for Mathematical Sciences · doi:10.2977/prims/1195192744 · Cited by 166
Mean Entropy of States in Quantum-Statistical Mechanics
Lanford, O. E., & Robinson, D. W. (1968) · Journal of Mathematical Physics · doi:10.1063/1.1664685 · Cited by 151
Homogeneity of the state space of factors of type III1
Alain Connes, A., & Størmer, E. (1978) · Journal of Functional Analysis · doi:10.1016/0022-1236(78)90085-x · Cited by 114
Form convex functions and the wydl and other inequalities
Pusz, W., & Woronowicz, S. L. (1978) · Letters in Mathematical Physics · doi:10.1007/bf00398504 · Cited by 59
Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity
Kosaki, H. (1982) · Communications in Mathematical Physics · doi:10.1007/bf01206026 · Cited by 51
FROM RELATIVE ENTROPY TO ENTROPY
Narnhofer, H., & Thirring, W. E. (1985) · Fizika · Cited by 34
Self-citationOn the equivalence between KMS-states and equilibrium states for classical systems
Aizenman, M., Goldstein, S., Gruber, C., Lebowitz, J. L., & Martin, P. A. (1977) · Communications in Mathematical Physics · doi:10.1007/bf01609847 · Cited by 30
Cited by
A Universal Operator Growth Hypothesis
Parker, D. E., Cao, X., Avdoshkin, A., Scaffidi, T., & Altman, E. (2019) · Physical Review X · doi:10.1103/physrevx.9.041017 · Cited by 367
Quantum Probability Theory and the Foundations of Quantum Mechanics
Fröhlich, J., & Schubnel, B. (2015) · Lecture Notes in Physics · doi:10.1007/978-3-662-46422-9_7 · Cited by 36
Metadata
- Authors
- Connes, A., Narnhofer, H., & Thirring, W.
- Venue
- Communications in Mathematical Physics
- Published
- 1987-12
- Volume
- 112
- Issue
- 4
- Pages
- 691-719
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W1487725315
- Cited by
- 268
- References
- 17
- FWCI
- 9.32
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
