Groups acting on CAT(0) cube complexes
Group Theory
2014-11-11 v1 Differential Geometry
Abstract
We show that groups satisfying Kazhdan's property (T) have no unbounded actions on finite dimensional CAT(0) cube complexes, and deduce that there is a locally CAT(-1) Riemannian manifold which is not homotopy equivalent to any finite dimensional, locally CAT(0) cube complex.
Keywords
Cite
@article{arxiv.math/9702231,
title = {Groups acting on CAT(0) cube complexes},
author = {Graham A. Niblo and Lawrence Reeves},
journal= {arXiv preprint arXiv:math/9702231},
year = {2014}
}
Comments
7 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper1.abs.html