Ergodic theory and maximal abelian subalgebras of the hyperfinite factor

Journal of Functional Analysis

Volumn 195, Issue 2, 2002, Pages 239-261

  Neshveyev, Sergey ^a   Størmer, Erling ^a  

^a UNIVERSITY OF OSLO   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037058475     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2002.3967     Document Type: Article

References (28)

1. 1, J. Funct. Anal. 16 (1974), 415-445.
2. A. Connes, J. Feldman, and B. Weiss, An amenable equivalence relation is generated by a single transformation, Ergodic Theory Dynam. Systems 1 (1981), 431-450.
3. 1 von Neumann algebras, Acta Math. 134 (1975), 289-306.
4. I. P. Cornfeld, S. V. Fomin, and Ya. G. Sinai, "Ergodic Theory," Springer, New York, 1982.
5. J. Dixmier, Sous-anneaux abéliens maximaux dans les facteurs de type fini, Ann. of Math. 59 (1954), 279-286.
6. H. A. Dye, On groups of measure preserving transformations. II, Amer. J. Math. 85 (1963), 551-576.
7. J. Feldman and C. C. Moore, Ergodic equivalence relations, cohomology, and von Neumann algebras. II, Trans. Amer. Math. Soc. 234 (1977), 325-359.
8. T. Giordano, I. F. Putnam, and C. F. Skau, Topological orbit equivalence and C* crossed products, J. Reine Angew. Math. 469 (1995), 51-111.
9. 1-factors arising from the dynamical systems theory, J. Funct. Anal. 181 (2001), 14-28.
10. P. Hahn, Reconstruction of a factor from measures on Takesaki's unitary equivalence relation, J. Funct. Anal. 31 (1979), 263-271.
11. J. Kwiatkowski and M. Lemanczyk, On the multiplicity function of ergodic group extensions. II, Studia Math. 116 (1995), 207-215.
12. C. C. Moore, Group extensions and cohomology for locally compact groups. IV, Trans. Amer. Math. Soc. 221 (1976), 35-58.
13. M. G. Nadkarni, "Spectral Theory of Dynamical Systems," Birkhäuser, Basel, 1998.
14. S. V. Neshveyev, Entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to quasi-free states, Rev. Math. Phys. 13 (2001), 29-50.
15. S. Neshveyev and E. Størmer, Entropy in type I algebras, Pacific J. Math. 201 (2001), 421-428.
16. O. A. Nielsen, Maximal abelian subalgebras of hyperfinite factors. II, J. Funct. Anal. 6 (1970), 192-202.
17. J. A. Packer, Point spectrum of ergodic abelian group actions and the corresponding group-measure factors, Pacific J. Math. 119 (1985), 381-405.
18. J. A. Packer, On the embedding of subalgebras corresponding to quotient actions in group-measure factors, Pacific J. Math. 119 (1985), 407-443.
19. 1 factors, Math. Scand. 57 (1985), 171-188.
20. S. Popa, An example of a property Γ factor with countable fundamental group, preprint, 2001.
21. 1 factors with Betti numbers invariants, preprint, 2001.
22. 1, Canad. J. Math. 12 (1960), 289-296.
23. 1 factors, preprint, 2001.
24. S. Ştrǎtilǎ, "Modular Theory in Operator Algebras," Abacus Press, Tunbridge Wells, 1981.
25. E. Størmer, and D. Voiculescu, Entropy of Bogoliubov automorphisms of the canonical anti-commutation relations, Comm. Math. Phys. 133 (1990), 521-542.
26. D. Voiculescu, Entropy of dynamical systems and perturbations of operators, Ergodic Theory Dynam. Systems 11 (1991), 779-786.
27. D. Voiculescu, Entropy of dynamical systems and perturbations of operators. II, Houston J. Math. 17 (1991), 651-661.
28. D. Voiculescu, Dynamical approximation entropies and topological entropy in operator algebras, Comm. Math. Phys. 170 (1995), 249-281.