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K-theory for subspaces of groups

Brodzki, J, Niblo, G.A, Putwain, R.J and Wright, N.J (2010) K-theory for subspaces of groups. Pre-print.

Record type: Article

Abstract

We show that a subspace of a group carries a natural partial translation structure which gives rise to a C*-algebra similar to that of a reduced C*-algebra of a group. We investigate the question: Does the inclusion of a subspace into an ambient group induce a homomorphism of C*-algebras? We prove that the answer is affirmative for subspaces of groups with non-coarsely dense complement. We show that under this condition there exists an exact sequence of C*-algebras which is analogous to the Pimsner-Voiculescu extension.

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Published date: 2010

Identifiers

Local EPrints ID: 149575
URI: http://eprints.soton.ac.uk/id/eprint/149575
PURE UUID: 22393331-30e5-4e8e-ab00-2dfeae67dfd7
ORCID for G.A Niblo: orcid.org/0000-0003-0648-7027
ORCID for N.J Wright: orcid.org/0000-0003-4884-2576

Catalogue record

Date deposited: 10 May 2010 08:37

Contributors

Author: J Brodzki
Author: G.A Niblo
Author: R.J Putwain
Author: N.J Wright