Groups acting on CAT(0) cube complexes
Groups acting on CAT(0) cube complexes
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.
kazhdan's property (t), tits' buildings, hyperbolic geometry, cat(0) cube complexes, locally cat(-1) spaces, Sp(n, 1)–manifolds
1-7
Niblo, Graham
43fe9561-c483-4cdf-bee5-0de388b78944
Reeves, Lawrence
864c4df0-4a83-429d-8411-7deffe430c61
1997
Niblo, Graham
43fe9561-c483-4cdf-bee5-0de388b78944
Reeves, Lawrence
864c4df0-4a83-429d-8411-7deffe430c61
Niblo, Graham and Reeves, Lawrence
(1997)
Groups acting on CAT(0) cube complexes.
Geometry and Topology Monographs: The Epstein Birthday Schrift, 1, .
(doi:10.2140/gt.1997.1.1).
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.
Text
nibloreeves.pdf
- Author's Original
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
Catalogue record
Date deposited: 06 Feb 2007
Last modified: 10 Jan 2022 02:36
Export record
Altmetrics
Contributors
Author:
Lawrence Reeves
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics