arXiv:math/0404402 Abstract

arXiv:math/0404402 [math.MG]Abstract References Reviews Resources

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

Published 2004-04-22, updated 2009-01-14Version 3

We prove a geometric characterization of a-T-menability through proper, affine, isometric actions on the Banach spaces $L_p[0,1]$ for $1<p<2$. This answers a question of A. Valette.

Comments: This version differs significantly from both the published version and the previous arXiv versions. The reason is a long overdue correction of implication 1=>3 in the proof of the main result. In the current version the proof is fixed but with a very different argument. I owe thanks to Cornelia Drutu for helpful correspondence which led to this update

Journal: Topology and its Applications (2006) vol. 156 (18) pp. 3409-3412

Categories: math.MG, math.FA

Keywords: banach spaces, geometric characterization, group actions, a-t-menability

Tags: journal article

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