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

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.

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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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

## Contributors

Author: S. Campbell