Borel cocycles, approximation properties and relative property T

Ergodic Theory and Dynamical Systems

Volumn 20, Issue 2, 2000, Pages 483-499

  Jolissaint, Paul ^a  

^a UNIVERSITY OF NEUCHÂTEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040182665     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700000237     Document Type: Article

References (24)

1. S. Adams and R. Spatzier. Kazhdan groups, cocycles and trees. Amer. J. Math. 112 (1990), 271-287.
2. C. Akemann and M. Walter. Unbounded negative definite functions. Can. J. Math. 33 (1981), 862-871.
3. C. Anantharaman. Amenable correspondences and approximation properties for von Neumann algebras. Pac. J. Math. 171 (1995), 309-341.
4. T. Bates and A. G. Robertson. Positive definite functions and relative property (T) for subgroups of discrete groups. Bull. Austral. Math. Soc. 52 (1995), 31-39.
5. M. Bekka, P. A. Cherix and A. Valette. Proper affine isometric actions of amenable groups. Novikov Conjecture, Index Theorems and Rigidity (London Math. Soc. Lecture Notes Series, 227). Cambridge University Press, Cambridge, 1995.
6. M. Bekka and P. de la Harpe. Représentations d'un groupe faiblement équivalentes à la représentation régulière. Bull. Soc. Math. France 122 (1994), 333-342.
7. F. Boca. Free products of completely positive maps and spectral sets. J. Funct. Anal. 97 (1991), 251-263.
8. M. Bozejko, T. Januszkiewicz and R. Spatzier. Infinite Coxeter groups do not have Kazhdan's property. J. Operator Theory 19 (1988), 63-67.
9. M. Bridson. Remarks on a talk of Higson. Unpublished notes.
10. M. Choda. Group factors of the Haagerup type. Proc. Japan Acad. 59 (1983), 174-209.
11. M. Cowling and U. Haagerup. Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one. Invent. Math. 96 (1989), 507-549.
12. M. Cowling and R. Zimmer. Actions of lattices in Sp(1, n). Ergod. Th. & Dynam. Sys. 9 (1989), 221-237.
13. P. de la Harpe and A. Valette. La propriété (T) pour les groupes localement compacts. Astérisque, Soc. Math. France 175 (1989).
14. J. Faraut and K. Harzallah. Distances hilbertiennes invariantes sur un espace homogène. Ann. Inst. Fourier 24 (1974), 171-217.
15. M. Gromov. Asymptotic Invariants of Infinite Groups (London Math. Soc. Lect. Notes Ser., 182). London Math. Soc., 1993.
16. U. Haagerup. Group C*-algebras without the completely bounded approximation property. Unpublished.
17. U. Haagerup. An example of a non-nuclear C*-algebra which has the metric approximation property. Invent. Math. 50 (1979), 279-293.
18. P. Jolissaint. Invariant states and a conditional fixed point property for affine actions. Math. Ann. 304 (1996), 561-579.
19. G. Margulis. Finitely-additive invariant measures on Euclidean spaces. Ergod. Th. & Dynam. Sys. 2 (1982), 383-396.
20. A. G. Robertson. Crofton formulae and geodesic distance in hyperbolic spaces. J. Lie Theory 8 (1998), 163-172.
21. 1 factors and unitary representations of Kazhdan's groups. Math. Ann. 296 (1993), 547-555.
22. J. L. Tu. La conjecture de Baum-Connes pour les feuilletages moyennables. Preprint, 1997.
23. R. Zimmer. On the cohomology of ergodic actions of semisimple Lie groups and discrete subgroups. Amer. J. Math. 103 (1981), 937-950.
24. R. Zimmer. Ergodic Theory and Semisimple Groups. Birkhauser, Boston, 1984.