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

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.

28 pages, revised

References in corpus (2)

• Property (T) and rigidity for actions on Banach spaces
• Proper isometric actions of hyperbolic groups on $L^p$-spaces

Cited by in corpus (1)

• On super-rigidity of Gromov's random monster group