The University of Southampton
×
Filter your search:
University of Southampton Institutional Repository

Groups acting on CAT(0) cube complexes

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
1464-8997
1-7
Niblo, Graham
43fe9561-c483-4cdf-bee5-0de388b78944
Reeves, Lawrence
864c4df0-4a83-429d-8411-7deffe430c61
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, 1-7. (doi:10.2140/gt.1997.1.1).

Record type: Article

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
Download (269kB)

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
DOI: doi:10.2140/gt.1997.1.1
ISSN: 1464-8997
PURE UUID: 375f5458-3ab0-4e89-8e71-385df5abae94
ORCID for Graham Niblo: ORCID iD orcid.org/0000-0003-0648-7027

Catalogue record

Date deposited: 06 Feb 2007
Last modified: 10 Jan 2022 02:36

Export record

Altmetrics

Contributors

Author: Graham Niblo ORCID iD
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

Library staff additional information
Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×