Hyperbolic groups admit proper affine isometric actions on l^p-spaces

2004/11/10 by Guoliang Yu, Yu, Guoliang · 1 citation
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #math.GR #math.OA

paper · pdf · doi:10.48550/arxiv.math/0411234

10 pages (to appear in GAFA)

arxiv created 2004/11/10 · arxiv updated 2009/12/01

Abstract

In this paper, we show that hyperbolic groups admit proper affine isometric actions on l^p-spaces.

Cited by

• Higher property T and below-rank phenomena of lattices

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• Groups that (do not) act isometrically on hyperbolic spaces
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• Actions of acylindrically hyperbolic groups on ℓ¹
• Property (NL) for group actions on hyperbolic spaces
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