English

Actions affines isom\'etriques propres des groupes hyperboliques sur des espaces $\ell^{p}$

Functional Analysis 2019-12-10 v2

Abstract

We give a simple and relatively short proof of the following fact: any hyperbolic group admits a proper affine isometric action on a p\ell^p-space for pp large enough. A first proof of this result was given by Guoliang Yu.

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Cite

@article{arxiv.1609.09480,
  title  = {Actions affines isom\'etriques propres des groupes hyperboliques sur des espaces $\ell^{p}$},
  author = {Aurélien Alvarez and Vincent Lafforgue},
  journal= {arXiv preprint arXiv:1609.09480},
  year   = {2019}
}

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