Exactness and uniform embeddability of discrete groups

Journal of the London Mathematical Society

Volumn 70, Issue 3, 2004, Pages 703-718

  Guentner, Erik ^a   Kaminker, Jerome ^b  

^a UNIVERSITY OF HAWAII   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 12144274662     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610704005897     Document Type: Article

References (18)

1. C. BERG and G. FORST, Potential theory on locally compact Abelian groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 87 (Springer, New York, 1975).
2. M. DADARLAT and E. GUENTNER, 'Constructions preserving Hilbert space uniform embeddability of discrete groups', Trans. Amer. Math. Soc. 355 (2003) 3253-3275.
3. P. DE LA HARPE, Topics in geometric group theory, Chicago Lectures in Mathematics (University of Chicago Press, Chicago, IL, 2000).
4. P. DE LA HARPE and A. VALETTE, 'La propriété (T) de Kazhdan pour les groupes localement compacts, Astérisque 175 (Societé Mathématique de France, Paris, 1989) 1-158 (with an appendix by M. Burger).
5. S. FERRY, A. RANICKI and J. ROSENBERG (eds.), Novikov conjectures, index theorems and rigidity, London Mathematical Society Lecture Note Series 226, 227 (Cambridge University Press, Cambridge, 1995).
6. M. GROMOV, 'Asymptotic invariants of infinite groups', Geometric group theory, London Mathematical Society Lecture Note Series 182 (ed. A. Niblo and M. Roller, Cambridge University Press, Cambridge, 1993) 1-295.
7. M. GROMOV, 'Random walk in random groups', Preprint, Institut des Hautes Étude Scientifiques, 2002.
8. E. GUENTNER and J. KAMINKER, 'Exactness and the Novikov conjecture', Topology 41 (2002) 411-418.
9. E. GUENTNER and J. KAMINKER, 'Addendum to "Exactness and the Novikov conjecture"', Topology 41 (2002) 419-420.
10. E. GUENTNER and J. KAMINKER, 'Uniform embeddings and completely bounded growth', in preparation.
11. N. HIGSON, V. LAFFORGUE and G. SKANDALIS, 'Counterexamples to the Baum-Connes conjecture', Geom. Funct. Anal. (2002) 330-354.
12. E. KIRCHBERG, 'On non-semisplit extensions, tensor products and exactness of group C*-algebras', Invent. Math. 112 (1993) 449-489.
13. E. KIRCHBERG and S. WASSERMANN, 'Permanence properties of C*-exact groups', Doc. Math. 4 (1999) 513-558.
14. N. OZAWA, 'Amenable actions and exactness for discrete groups', C. R. Acad. Sci. Paris Sér. I Math. 330 (2000) 691-695.
15. G. K. PEDERSEN, Analysis now (Springer, New York, 1989).
16. J. ROE, Index theory, coarse geometry, and topology of manifolds (Conference Board of the Mathematical Sciences, Washington DC, 1996).
17. G. SKANDALIS, J. L. TU and G. YU, 'Coarse Baum-Connes conjecture and groupoids', Topology 41 (2002) 807-834.
18. G. Yu, 'The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space', Invent. Math. 139 (2000) 201-240.