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

Indira Chatterji (1) , François Dahmani (2)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 IF - Institut Fourier

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.

Domaines: Mathématiques [math]; Théorie des groupes [math.GR]

Indira Chatterji, François Dahmani. Proper actions on $\ell^p$ spaces for relatively hyperbolic groups. 2019. ⟨hal-01986984⟩