On the K-property of quantized Arnold cat maps

Journal of Mathematical Physics

Volumn 41, Issue 4, 2000, Pages 1961-1965

  Neshveyev, S V ^a  

^a B VERKIN INSTITUTE FOR LOW TEMPERATURE PHYSICS AND ENGINEERING   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347150     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533221     Document Type: Article

References (8)

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2. V. Y. Golodets and S. V. Neshveyev, "Non-Bernoullian quantum K-systems," Commun. Math. Phys. 195, 213-232 (1998).
3. V. Y. Golodets and S. V. Neshveyev, "Gibbs states for AF-algebras," J. Math. Phys. 39, 6329-6344 (1998).
4. S. V. Neshveyev, "Entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to quasi-free states," preprint.
5. H. Narnhofer, "Quantized Arnold cat maps can be entropic K-systems," J. Math. Phys. 33, 1502-1510 (1992).
6. D. Voiculescu, "Dynamical approximation entropies and topological entropy in operator algebras," Commun. Math. Phys. 170, 249-281 (1995).
7. V. A. Rohlin, "Metric properties of endomorphisms of compact commutative groups," Izv. Akad. Nauk 28, 867-874 (1964) (in Russian).
8. A. Connes, H. Narnhofer, and W. Thirring, "Dynamical entropy of C*-algebras and von Neumann algebras," Commun. Math. Phys. 112, 691-719 (1987).