Group actions on Banach spaces and a geometric characterization of a-T-menability

Topology and its Applications

Volumn 153, Issue 18, 2006, Pages 3409-3412

  Nowak, Piotr W ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

a T menability; Baum Connes Conjecture; Haagerup property

Indexed keywords

EID: 33749985969     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2006.03.001     Document Type: Article

References (12)

1. Bekka M.E.B., Cherix P.-A., and Valette A. Proper affine isometric actions of amenable groups. Novikov Conjectures, Index Theorems and Rigidity, vol. 2, Oberwolfach, 1993. London Math. Soc. Lecture Notes vol. 227 (1995), Cambridge University Press, Cambridge 1-4
2. Bretagnolle J., Dacuhna-Castelle D., and Krivine J.L. Lois stables et espaces L. Ann. Inst. Henri Poincaré, Sect. B 2 (1966) 231-259
3. Brown N., and Guentner E. Uniform embeddings of bounded geometry metric spaces into reflexive Banach spaces. Proc. Amer. Math. Soc. 133 7 (2005) 2045-2050
4. U. Bader, A. Furman, T. Gelander, N. Monod, Property (T) and rigidity for actions on Banach spaces, Preprint, 2005
5. B. Bekka, P. de la Harpe, A. Valette, Kazhdan's Property (T), Manuscript avaliable online
6. Benyamini Y., and Lindenstrauss J. Geometric Nonlinear Functional Analysis. Colloquium Publications vol. 48 (2000), American Mathematical Society, Providence, RI
7. Cherix P.-A., Cowling M., Jolissaint P., Julg P., and Valette A. Groups with the Haagerup Property: Gromov's a-T-menability (2001), Birkhäuser, Basel
8. Gromov M. Asymptotic invariants of infinite groups. London Mathematical Society Lecture Notes vol. 182 (1993), Cambridge University Press, Cambridge 1-295
9. Higson N., and Kasparov G.G. E-theory and KK-theory for groups which act properly and isometrically on a Hilbert space. Invent. Math. 144 1 (2001) 23-74
10. Schoenberg I.J. Metric spaces and positive definite functions. Trans. Amer. Math. Soc. 44 (1938) 522-536
11. Wojtaszczyk P. Banach Spaces for Analysts (1991), Cambridge University Press, Cambridge
12. p-spaces, Preprint, 2004