Examples of subfactors with property T standard invariant

Geometric and Functional Analysis

Volumn 9, Issue 2, 1999, Pages 215-225

  Bisch, Dietmar ^a   Popa, Sorin ^b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF GENEVA   (Switzerland)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033418765     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050085     Document Type: Article

References (18)

1. C. ANANTHARAMAN-DELAROCHE, On Connes' property T for von Neumann algebras, Math. Japonica 3 (1987), 337-355.
2. 2-cohomology and property (T) for automorphism groups of polyhedral cell complexes, GAFA 7 (1997), 615-645.
3. D. BISCH, A note on intermediate subfactors, Pacific Journal of Math. 163 (1994), 201-216.
4. D. BISCH, U. HAAGERUP, Composition of subfactors: new examples of infinite depth subfactors, Ann. Scient. Éc. Norm. Sup. 29 (1996), 329-383.
5. M. CONDER, A surprising isomorphism, Journal of Algebra 129 (1990), 494-501.
6. M. CONDER, E. ROBERTSON, P. WILLIAMS, Presentations for 3-dimensional special linear groups over integer rings, Proceedings of the American Math. Soc. 115 (1992), 19-26.
7. U. HAAGERUP, Principal graphs of subfactors in the index range 4 < [M : N] < 3 + √2, in "Subfactors" (Kyuzeso, 1993), World Sci. Publishing (1994), 1-38.
8. P. DE LA HARPE, A. VALETTE, La propriété (T) de Kazhdan pour les groupes localement compacts, Astérisque (1989), 175.
9. V.F.R. JONES, Index for subfactors, Invent. Math. 72 (1983), 1-25.
10. D. KAZHDAN, Connections of the dual space of a group with the structure of its closed subgroups, Funct. Anal. and its Appl. 1 (1967), 63-65.
11. M. PIMSNER, S. POPA, Entropy and index for subfactors, Ann. Scient. Ec. Norm. Sup. 19 (1986), 57-106.
12. S. POPA, Correspondences, INCREST preprint (1986).
13. S. POPA, Classification of amenable subfactors of type II, Acta Math. 172 (1994), 352-445.
14. S. POPA, Symmetric enveloping algebras, amenability and AFD properties for subfactors, Mathematical Research Letters 1 (1994), 409-425.
15. S. POPA, An axiomatizaton of the lattice of higher relative commutants, Invent. Math. 120 (1995), 427-445.
16. S. POPA, Amenability in the theory of subfactors, in "Operator Algebras and Quantum Field Theory" (S. Doplicher et al., eds.), International Press (1997), 199-211.
17. S. POPA, Some properties of the symmetric enveloping algebra of a subfactor, with applications to amenability and property T, preprint 1997.
18. P. SARNAK, Some applications of modular forms, Cambridge Tracts in Mathematics 99, Cambridge University Press, 1990.