Actions affines isométriques propres des groupes hyperboliques sur des quotients d'espaces ${\ell }^p$

Abstract

We prove that any hyperbolic group admits a proper affine isometric action on a quotient space of a ${\ell }^p$ Banach space, for all $p>1$ sufficiently close to 1.

arXiv commentin French

Cited by in corpus (2)

• Strong algebraization of fixed point properties
• Strong Property (T), weak amenability and ${\ell }^p$-cohomology in ${\tilde{A}}_2$-buildings