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Exactness of locally compact groups

Exactness of locally compact groups
Exactness of locally compact groups
We give some new characterizations of exactness for locally compact second countable groups. In particular, we prove that a locally compact group is exact if and only if it admits a topologically amenable action on a compact Hausdorff space. This answers an open question by Anantharaman-Delaroche.
0001-8708
209-233
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Cave, Christopher
2c6d5919-25c4-49e7-9fcd-0bc40ecfdb40
Li, Kang
62945651-4b08-4fa3-a1fa-0eadaddbf6c5
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Cave, Christopher
2c6d5919-25c4-49e7-9fcd-0bc40ecfdb40
Li, Kang
62945651-4b08-4fa3-a1fa-0eadaddbf6c5

Brodzki, Jacek, Cave, Christopher and Li, Kang (2017) Exactness of locally compact groups. Advances in Mathematics, 312, 209-233. (doi:10.1016/j.aim.2017.03.020).

Record type: Article

Abstract

We give some new characterizations of exactness for locally compact second countable groups. In particular, we prove that a locally compact group is exact if and only if it admits a topologically amenable action on a compact Hausdorff space. This answers an open question by Anantharaman-Delaroche.

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1603.01829.pdf - Author's Original
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(Resubmission-for-advances-March-17)Exactness-of-locally-compact-groups - Accepted Manuscript
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More information

Submitted date: 27 June 2016
Accepted/In Press date: 21 March 2017
e-pub ahead of print date: 7 April 2017
Published date: 25 May 2017
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 401824
URI: http://eprints.soton.ac.uk/id/eprint/401824
ISSN: 0001-8708
PURE UUID: dd634c41-d54a-4916-bc9b-1693315cc5cf
ORCID for Jacek Brodzki: ORCID iD orcid.org/0000-0002-4524-1081

Catalogue record

Date deposited: 21 Oct 2016 13:54
Last modified: 15 Mar 2024 06:00

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Contributors

Author: Jacek Brodzki ORCID iD
Author: Christopher Cave
Author: Kang Li

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