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Groups acting on CAT(0) cube complexes

By Graham Niblo and Lawrence Reeves


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

Topics: QA
Year: 1997
OAI identifier: oai:eprints.soton.ac.uk:29814
Provided by: e-Prints Soton

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  3. (1995). Ends of group pairs and non-positively curved cube complexes,
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  5. (1987). Hyperbolic groups, in: \Essays
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  7. (1989). La propri¶ et¶ e (T) de Kazhdan pour les groupes localement compacts,
  8. Metric spaces of non-positive curvature, in preparation.

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