Proper actions on $\ell ^p$-spaces for relatively hyperbolic groups

Chatterji, Indira; Dahmani, François

doi:10.5802/ahl.26

Chatterji, Indira; Dahmani, François

Proper actions on

ℓ^{p}

-spaces for relatively hyperbolic groups

Annales Henri Lebesgue, Volume 3 (2020), pp. 35-66.

Metadata

DOI10.5802/ahl.26

Abstract

We show that for any group $G$ that is hyperbolic relative to subgroups that admit a proper affine isometric action on a uniformly convex Banach space, then $G$ acts properly on a uniformly convex Banach space as well.

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$Proper actions on <span title="$\ell ^p$"><math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><msup><mi>ℓ</mi> <mi>p</mi> </msup></math></span>-spaces for relatively hyperbolic groups - Annales Henri Lebesgue$

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