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

Authors :
Alvarez, Aurélien
Lafforgue, Vincent
Source :
Annales scientifiques de l'\'ENS. Vol. 51, p. 1389-1398 (2018)
Publication Year :
2016

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.<br />Comment: in French

Subjects

Subjects :
Mathematics - Functional Analysis

Details

Language :
French
Database :
arXiv
Journal :
Annales scientifiques de l'\'ENS. Vol. 51, p. 1389-1398 (2018)
Publication Type :
Report
Accession number :
edsarx.1609.09797
Document Type :
Working Paper