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Non-K-exact uniform Roe C*-algebras

Non-K-exact uniform Roe C*-algebras
Non-K-exact uniform Roe C*-algebras
We prove that uniform Roe C*-algebras C*uX associated to some expander graphs X coming from discrete groups with property (τ) are not K-exact. In particular, we show that this is the case for the expander obtained as Cayley graphs of a sequence of alternating groups (with appropriately chosen generating sets).
1865-2433
191-201
Špakula, Ján
c43164e4-36a7-4372-9ce2-9bfbba775d77
Špakula, Ján
c43164e4-36a7-4372-9ce2-9bfbba775d77

Špakula, Ján (2012) Non-K-exact uniform Roe C*-algebras. Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology, 10 (01), 191-201. (doi:10.1017/is010006007jkt122).

Record type: Article

Abstract

We prove that uniform Roe C*-algebras C*uX associated to some expander graphs X coming from discrete groups with property (τ) are not K-exact. In particular, we show that this is the case for the expander obtained as Cayley graphs of a sequence of alternating groups (with appropriately chosen generating sets).

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e-pub ahead of print date: 1 August 2010
Published date: 1 August 2012
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Local EPrints ID: 420842
URI: http://eprints.soton.ac.uk/id/eprint/420842
DOI: doi:10.1017/is010006007jkt122
ISSN: 1865-2433
PURE UUID: a80ef276-d5ef-4972-b7bc-12931f895757
ORCID for Ján Špakula: ORCID iD orcid.org/0000-0001-5775-9905

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Date deposited: 16 May 2018 16:30
Last modified: 16 Mar 2024 04:16

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Author: Ján Špakula ORCID iD

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