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

Piotr W. Nowak

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

Metric Geometry 2009-01-14 v3 Functional Analysis

Authors: Piotr W. Nowak

Abstract

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.

Keywords

a-t-menability group action banach space proper affine isometric action geometric characterization

Cite

@article{arxiv.math/0404402,
  title  = {Group actions on Banach spaces and a geometric characterization of a-T-menability},
  author = {Piotr W. Nowak},
  journal= {arXiv preprint arXiv:math/0404402},
  year   = {2009}
}

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

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

Abstract

Keywords

Cite

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