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.
209-233
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Cave, Christopher
2c6d5919-25c4-49e7-9fcd-0bc40ecfdb40
Li, Kang
62945651-4b08-4fa3-a1fa-0eadaddbf6c5
25 May 2017
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, .
(doi:10.1016/j.aim.2017.03.020).
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.
Text
1603.01829.pdf
- Author's Original
Text
(Resubmission-for-advances-March-17)Exactness-of-locally-compact-groups
- Accepted Manuscript
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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
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Date deposited: 21 Oct 2016 13:54
Last modified: 15 Mar 2024 06:00
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Author:
Christopher Cave
Author:
Kang Li
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