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A homological characterization of topological amenability

A homological characterization of topological amenability
A homological characterization of topological amenability
Generalizing Block and Weinberger’s characterization of amenability we introduce the notion of uniformly finite homology for a group action on a compact space and use it to give a homological characterization of topological amenability for actions. By considering the case of the natural action of G on its Stone-Cech compactification we obtain a homological characterisation of exactness of the group.
1472-2747
1767-1780
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Nowak, Piotr
d86850e8-5309-4f78-abf0-73d2036249b1
Wright, N.J.
f4685b8d-7496-47dc-95f0-aba3f70fbccd
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Nowak, Piotr
d86850e8-5309-4f78-abf0-73d2036249b1
Wright, N.J.
f4685b8d-7496-47dc-95f0-aba3f70fbccd

Brodzki, Jacek, Niblo, Graham A., Nowak, Piotr and Wright, N.J. (2012) A homological characterization of topological amenability. Algebraic & Geometric Topology, 12 (3), Summer Issue, 1767-1780.

Record type: Article

Abstract

Generalizing Block and Weinberger’s characterization of amenability we introduce the notion of uniformly finite homology for a group action on a compact space and use it to give a homological characterization of topological amenability for actions. By considering the case of the natural action of G on its Stone-Cech compactification we obtain a homological characterisation of exactness of the group.

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e-pub ahead of print date: 24 August 2010
Published date: 8 August 2012
Additional Information: Funded by National Science Foundation: Isoperimetric inequalities and the large-scale geometry of groups (900874)
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 162613
URI: https://eprints.soton.ac.uk/id/eprint/162613
ISSN: 1472-2747
PURE UUID: 7472c8ad-e6bc-49c9-ba98-14707c73a087
ORCID for N.J. Wright: ORCID iD orcid.org/0000-0003-4884-2576

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Date deposited: 24 Aug 2010 21:30
Last modified: 25 May 2019 00:34

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Contributors

Author: Jacek Brodzki
Author: Graham A. Niblo
Author: Piotr Nowak
Author: N.J. Wright ORCID iD

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