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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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)
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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
ePrint ID: 29814
Date Deposited: 06 Feb 2007
Last Modified: 27 Mar 2014 18:18
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