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Property A and exactness of the uniform Roe algebra

Property A and exactness of the uniform Roe algebra
Property A and exactness of the uniform Roe algebra
In this short note, prepared for the volume of conjectures to celebrate Guido Mislin's retirement, we outline the conjecture that a uniformly discrete bounded geometry metric space X has property A if and only if the uniform Roe algebra C^?(X ) is exact.
Analytic methods in group theory, Roe algebra, Yu's property A
0013-8584
46-48
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Wright, Nicholas
f4685b8d-7496-47dc-95f0-aba3f70fbccd
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Wright, Nicholas
f4685b8d-7496-47dc-95f0-aba3f70fbccd

Brodzki, Jacek, Niblo, Graham A. and Wright, Nicholas (2008) Property A and exactness of the uniform Roe algebra. L’Enseignement Mathématique (2), 54, 46-48.

Record type: Article

Abstract

In this short note, prepared for the volume of conjectures to celebrate Guido Mislin's retirement, we outline the conjecture that a uniformly discrete bounded geometry metric space X has property A if and only if the uniform Roe algebra C^?(X ) is exact.

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More information

Published date: 2008
Keywords: Analytic methods in group theory, Roe algebra, Yu's property A

Identifiers

Local EPrints ID: 46385
URI: http://eprints.soton.ac.uk/id/eprint/46385
ISSN: 0013-8584
PURE UUID: 3e081af3-e25d-402a-b0fd-938f35846e56
ORCID for Jacek Brodzki: ORCID iD orcid.org/0000-0002-4524-1081
ORCID for Graham A. Niblo: ORCID iD orcid.org/0000-0003-0648-7027
ORCID for Nicholas Wright: ORCID iD orcid.org/0000-0003-4884-2576

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Date deposited: 03 Jul 2007
Last modified: 16 Mar 2024 03:43

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