Proper actions on \(\ell^p\)-spaces for relatively hyperbolic groups. (Des actions propres de groupes relativement hyperboliques sur des espaces \(\ell^p\).) (English. French summary) Zbl 1511.20175
Summary: 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.
MSC:
| 20F67 | Hyperbolic groups and nonpositively curved groups |
| 22F05 | General theory of group and pseudogroup actions |
| 57M07 | Topological methods in group theory |
| 58B25 | Group structures and generalizations on infinite-dimensional manifolds |
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