The University of Southampton
University of Southampton Institutional Repository

Complexes and exactness of certain Artin groups

Complexes and exactness of certain Artin groups
Complexes and exactness of certain Artin groups
In his work on the Novikov conjecture, Yu introduced Property A as a readily verified criterion implying coarse embeddability. Studied subsequently as a property in its own right, Property A for a discrete group is known to be equivalent to C*-exactness of the reduced C*-algebra, and to the amenability of the action of the group on its Stone-Cech compactification. In this paper we study exactness for groups acting on a finite dimensional CAT(0) cube complex. We apply our methods to show that Artin groups of type FC are exact. While many discrete groups are known to be exact the question of whether every Artin group is exact remains open.
1472-2747
1471-1495
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Guentner, Erik
0efa2b74-da7d-497d-8a80-e668eb8f41f1
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Guentner, Erik
0efa2b74-da7d-497d-8a80-e668eb8f41f1

Niblo, Graham A. and Guentner, Erik (2011) Complexes and exactness of certain Artin groups. Algebraic & Geometric Topology, 11 (3), Summer Issue, 1471-1495. (doi:10.2140/agt.2011.11.1471).

Record type: Article

Abstract

In his work on the Novikov conjecture, Yu introduced Property A as a readily verified criterion implying coarse embeddability. Studied subsequently as a property in its own right, Property A for a discrete group is known to be equivalent to C*-exactness of the reduced C*-algebra, and to the amenability of the action of the group on its Stone-Cech compactification. In this paper we study exactness for groups acting on a finite dimensional CAT(0) cube complex. We apply our methods to show that Artin groups of type FC are exact. While many discrete groups are known to be exact the question of whether every Artin group is exact remains open.

Text
ArtinArXivVersion.pdf - Other
Download (619kB)

More information

Accepted/In Press date: 24 January 2011
Published date: 23 May 2011
Organisations: Mathematical Sciences, Pure Mathematics

Identifiers

Local EPrints ID: 159253
URI: https://eprints.soton.ac.uk/id/eprint/159253
ISSN: 1472-2747
PURE UUID: 3fd14a82-f740-4b50-bb38-3a645caf5419
ORCID for Graham A. Niblo: ORCID iD orcid.org/0000-0003-0648-7027

Catalogue record

Date deposited: 29 Jun 2010 15:33
Last modified: 19 Jul 2019 01:17

Export record

Altmetrics

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

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 https://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.

×