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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2018
- DOI:
- 10.48550/arXiv.1801.08047
- arXiv:
- arXiv:1801.08047
- Bibcode:
- 2018arXiv180108047C
- Keywords:
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- Mathematics - Group Theory;
- Mathematics - Geometric Topology
- E-Print:
- 28 pages, revised