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

preprint2019arXivOpen access

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 $\ell^p$ spaces for relatively hyperbolic groups

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Proper actions on ℓp\ell^pℓp spaces for relatively hyperbolic groups

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