Groups acting on CAT(0) cube complexes
Niblo, Graham and Reeves, Lawrence (1997) Groups acting on CAT(0) cube complexes. Geometry and Topology, 1, 1-7. (doi:10.2140/gt.1997.1.1).
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Original Publication URL: http://dx.doi.org/10.2140/gt.1997.1.1
Description/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.
| Item Type: | Article |
|---|---|
| ISSNs: | 1464-8997 (print) |
| Related URLs: | |
| Keywords: | kazhdan's property (t), tits' buildings, hyperbolic geometry, cat(0) cube complexes, locally cat(-1) spaces, Sp(n,1)–manifolds |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| Item ID: | 29814 |
| Date Deposited: | 06 Feb 2007 |
| Last Modified: | 28 Jun 2012 10:15 |
| Contributors: | Niblo, Graham (Author) Reeves, Lawrence (Author) |
| Date: | 1997 |
| Status: | Published |
| Contact Email Address: | G.A.Niblo@soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/29814 |
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