Haagerup approximation property for finite von Neumann algebras

Journal of Operator Theory

Volumn 48, Issue 3 SUPPL., 2002, Pages 549-571

  Jolissaint, Paul ^a  

^a UNIVERSITY OF NEUCHÂTEL   (Switzerland)

Author keywords

Completely positive maps; Crossed products; Haagerup property; Von Neumann algebras

Indexed keywords

EID: 0036975173     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. C. ANANTHARAMAN, Amenable correspondences and approximation properties for von Neumann algebras, Pacific J. Math. 171(1995), 309-341.
2. P.L. AUBERT, Théorie de Galois pour une W*-algèbre, Comment. Math. Helv. 39 (1976), 411-433
3. P.L. AUBERT, Projecteurs dans U(G): un exemple, in Algèbres d'opérateurs, Lecture Notes Math., vol. 725, Springer-Verlag, 1978, pp. 17-18.
4. M. BAILLET, Y. DENIZEAU, J.-M. HAVET, Indice d'une espérance conditionnelle, Compositio Math. 66(1988), 199-236.
5. 1-factors, J. Funct. Anal. 91(1990), 404-414.
6. P. BOCA, On the method of constructing irreducible finite index subfactors of Popa, Pacific J. Math. 161(1993), 201-231.
7. P.-A. CHERIX, M. COWLING, P. JOLISSAINT, P. JULG, A. VALETTE, The Haagerup property for groups. Gromov's a-T-menability, Progr. Math., vol. 197, Birkhäuser, Basel 2001.
8. M. CHODA, Group factors of the Haagerup type, Proc. Japan Acad. 59(1983), 174-209.
9. A. CONNES, V. JONES, Property T for von Neumann algebras, Bull. London Math. Soc. 17(1985), 57-62.
10. M. COWLING, R. ZIMMER, Actions of lattices in Sp(1, n), Ergodic Theory Dynam. Systems 9(1989), 221-237.
11. A. VAN DAELE, Continuous crossed products and type III von Neumann algebras, London Math. Soc. Lecture Notes Ser., vol. 31, Cambridge Univ. Press, Cambridge 1978.
12. J. DIXMIER, Von Neumann Algebras, North-Holland, Amsterdam 1981.
13. M. FRANK, E. KIRCHBERG, On conditional expectations of finite index, preprint, 1997.
14. U. HAAGERUP, An example of a non-nuclear C*-algebra which has the metric approximation property, Invent. Math. 50(1979), 279-293.
15. U. HAAGERUP, All nuclear C*-algebras are amenable, Invent. Math. 74(1983), 305-319.
16. U. HAAGERUP, Group C*-algebras without the completely bounded approximation property, unpublished.
17. P. JOLISSAINT, Index for pairs of finite von Neumann algebras, Pacific J. Math. 146(1990), 43-70.
18. P. JOLISSAINT, Indice d'espérances conditionnelles et algèbres de von Neumann finies, Math. Scand. 68(1991), 221-246.
19. P. JOLISSAINT, Invariant states and a conditional fixed point property for affine actions, Math. Ann. 304(1996), 561-579.
20. P. JOLISSAINT, Borel cocycles, approximation properties and relative property T Ergodic Theory Dynam. Systems 20(2000), 483-499.
21. A. OCNEANU, Actions of discrete, amenable groups on von Neumann algebras, Lecture Notes in Math., vol. 1138, Springer-Verlag, 1985.
22. M. PIMSNER, S. POPA, Entropy and index for subfactors, Ann. Sci. École Norm. Sup. 19(1986), 57-106.
23. S. POPA, Correspondences, preprint INCREST, 1986.
24. S. POPA, Markov traces on universal Jones algebras and subfactors of finite index, Invent. Math. 111(1993), 375-405.
25. S. POPA, Classification of subfactors and their endomorphisms, CBMS Lecture Notes, vol. 86, 1995.
26. S. POPA, The relative Dixmier property for inclusions of von Neumann algebras of finite index, Ann. Sci. École Norm. Sup. 32(1999), 743-767.
27. S. POPA, A rigidity result for actions of property T groups by Bernoulli shifts, preprint, 2001.
28. ∞) ⊗ B(H) scaling the trace, C.R. Acad. Sci. Paris Sér. I Math. 314(1992), 1027-1032.
29. M. TAKESAKI, Theory of Operator Algebras. I, Springer-Verlag, 1979.