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Groups acting on CAT(0) cube complexes

Record type: Article

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.

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Citation

Niblo, Graham and Reeves, Lawrence (1997) Groups acting on CAT(0) cube complexes Geometry and Topology Monographs: The Epstein Birthday Schrift, 1, pp. 1-7. (doi:10.2140/gt.1997.1.1).

More information

Published date: 1997
Keywords: kazhdan's property (t), tits' buildings, hyperbolic geometry, cat(0) cube complexes, locally cat(-1) spaces, Sp(n, 1)–manifolds

Identifiers

Local EPrints ID: 29814
URI: http://eprints.soton.ac.uk/id/eprint/29814
ISSN: 1464-8997
PURE UUID: 375f5458-3ab0-4e89-8e71-385df5abae94

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Date deposited: 06 Feb 2007
Last modified: 17 Jul 2017 15:56

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Contributors

Author: Graham Niblo
Author: Lawrence Reeves

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