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arXiv · 1609.09480

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

Aurélien Alvarez·Vincent Lafforgue
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Abstract

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

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Aurélien Alvarez, Vincent Lafforgue. 2016-09-29. Actions affines isom\'etriques propres des groupes hyperboliques sur des espaces $\ell^{p}$. https://arxiv.org/abs/1609.09480

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