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 $A$.
441-446
Campbell, S.
e6d6f15a-72d1-4397-9ff4-c89fae2cd440
2006
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), .
(doi:10.1112/S0024609306018479).
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
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Local EPrints ID: 41163
URI: http://eprints.soton.ac.uk/id/eprint/41163
ISSN: 0024-6093
PURE UUID: 0ea623e6-3eb9-4dfd-9f78-e656e1baea2e
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Date deposited: 25 Jul 2006
Last modified: 15 Mar 2024 08:25
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Author:
S. Campbell
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