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Exactness of free and amenable groups by the construction of Ozawa kernels

Exactness of free and amenable groups by the construction of Ozawa kernels
Exactness of free and amenable groups by the construction of Ozawa kernels
Using properties of their Cayley graphs, specific examples of Ozawa kernels are constructed for both free and amenable groups, thus showing that these groups satisfy Property $O$. It is deduced both that these groups are exact and satisfy Yu's Property $A$.
0024-6093
441-446
Campbell, S.
e6d6f15a-72d1-4397-9ff4-c89fae2cd440
Campbell, S.
e6d6f15a-72d1-4397-9ff4-c89fae2cd440

Campbell, S. (2006) Exactness of free and amenable groups by the construction of Ozawa kernels. Bulletin of the London Mathematical Society, 38 (3), 441-446. (doi:10.1112/S0024609306018479).

Record type: Article

Abstract

Using properties of their Cayley graphs, specific examples of Ozawa kernels are constructed for both free and amenable groups, thus showing that these groups satisfy Property $O$. It is deduced both that these groups are exact and satisfy Yu's Property $A$.

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More information

Submitted date: 4 April 2005
Published date: 2006

Identifiers

Local EPrints ID: 41163
URI: https://eprints.soton.ac.uk/id/eprint/41163
ISSN: 0024-6093
PURE UUID: 0ea623e6-3eb9-4dfd-9f78-e656e1baea2e

Catalogue record

Date deposited: 25 Jul 2006
Last modified: 17 Jul 2017 15:32

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