Relative property (T) and linear groups

Annales de l'Institut Fourier

Volumn 56, Issue 6, 2006, Pages 1767-1804

  Fernós, Talia ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

Group extensions; Linear algebraic groups; Relative property (T)

Indexed keywords

EID: 34249069449     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.2227     Document Type: Article

References (32)

1. 2n (n ≥ 2)", Inst. Hautes Études Sci. Publ. Math. (1967), no. 33, p. 59-137.
2. H. BASS, "Groups of integral representation type", Pacific Journal of Math. 86 (1980), no. 1, p. 15-51.
3. A. BOREL & J. TITS, "Groupes rcductifs", Publ. Math. IHÉS 27 (1965), p. 55-150.
4. A. BOREL, Linear algebraic groups, Springer-Verlag, 1991.
5. 3(ℤ) ", J. reine angew. Math. 413 (1991), p. 36-67.
6. n", arXiv:math.GR/0306011, 2003.
7. L. J. GOLDSTEIN, Analytic number theory, Prentice-Hall, Englewood Cliffs, New Jersey, 1971.
8. P. DE LA HARPE & A. VALETTE, "La propriété (T) de Kazhdan pour les groupes localement compacts", Asterisque 175 (1989), p. 1-157.
9. G. HOCHSCHILD, The structure of Lie groups, Holden-Day Inc., San Francisco, 1965.
10. J. E. HUMPHREYS, Linear Algebraic Groups, Springer, 1998.
11. P. JOLISSAINT, "Borel cocycles, approximation properties and relative property (T)", Ergod. Th. & Dynam. Sys. 20 (2000), p. 483-499.
12. M. KASSABOV & N. NIKOLOV, "Universal lattices and property τ", http://arxiv.org/pdf/math.GR/0502112, 2004.
13. D. KAZHDAN, "Connection of the dual space of a group with the structure of its closed subgroups", Functional Analysis and its Applications 1 (1967), p. 63-65.
14. A. LUBOTZKY, S. MOZES & M. S. RAGHUNATHAN, "The word and Ricmannian metrics on lattices of semisimple groups", Inst. Hautes Études Sci. Publ. Math. (2000), no. 91, p. 5-53 (2001).
15. G. W. MACKEY, "A theorem of Stone and von Neumann", Duke Math. J. 16 (1949), p. 313-326.
16. _, "Induced representations of locally compact groups, I", Ann. of Math. (2) 55 (1952), p. 101-139.
17. G. A. MARGULIS, Discrete subgroups of scmisimple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 17, Springer-Verlag, Berlin, 1991.
18. G. MARGULIS, "Explicit constructions of concentrators", Problems Information Transmission 9 (1973), p. 325-332.
19. A. NAVAS, "Quelques nouveaux phénomènes de rang 1 pour les groupes de difféo-morphismes du cercle", Comment. Math. Helv. 80 (2005), no. 2, p. 355-375.
20. 1 factors with Betti numbers invariants", MSRI preprint no. 2001-0024 math.OA/0209310, 2003.
21. 1 factors arising from malleable actions of w-rigid groups, Part I", arXiv:math.OA/0305306, 2003.
22. _, "Some computations of 1-cohomology groups and constructions of non-orbit equivalent actions", arXiv:math.OA/0407199, 2004.
23. Y. SHALOM, "Measurable group theory", Preprint, 2005.
24. Y. SHALOM, "Bounded generation and Kazhdan's property (T)", Just. Hautes Études Sci. Publ. Math. (1999), no. 90, p. 145-168 (2001).
25. T. SPRINGER, Linear algebraic groups, 2nd edition, Birkhäuser, 1998.
26. A. A. SUSLIN, "The structure of the special linear group over rings of polynomials", Izv. Akad. Nauk SSSR Ser. Mat. 41 (1977), no. 2, p. 235-252, 477.
27. J. TITS, Classification of algebraic semisimple groups in algebraic groups and discrete subgroups, Proc. Symp. Pure Math. IX Amer. Math. Soc., 1960.
28. n actions", Preprint, 2004.
29. A. VALETTE, "Group pairs with property (T), from arithmetic lattices", Geom. Dedicata 112 (2005), p. 183-196.
30. P. S. WANG, "On isolated points in the dual spaces of locally compact groups", Mathematische Annalen 218 (1975), p. 19-34.
31. H. WHITNEY, "Elementary structure of real algebraic varieties", The Annals of Mathematics 66 (1957), no. 3, p. 545-556.
32. R. ZIMMER, Ergodic theory and semisimple groups, Birkhäuser, 1984.