K-theory for subspaces of groups
K-theory for subspaces of groups
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.
Brodzki, J
b1fe25fd-5451-4fd0-b24b-c59b75710543
Niblo, G.A
43fe9561-c483-4cdf-bee5-0de388b78944
Putwain, R.J
ad2d0d86-3dca-4dfc-b7bf-5cd5c59a3f18
Wright, N.J
f4685b8d-7496-47dc-95f0-aba3f70fbccd
2010
Brodzki, J
b1fe25fd-5451-4fd0-b24b-c59b75710543
Niblo, G.A
43fe9561-c483-4cdf-bee5-0de388b78944
Putwain, R.J
ad2d0d86-3dca-4dfc-b7bf-5cd5c59a3f18
Wright, N.J
f4685b8d-7496-47dc-95f0-aba3f70fbccd
Brodzki, J, Niblo, G.A, Putwain, R.J and Wright, N.J
(2010)
K-theory for subspaces of groups.
Pre-print.
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
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In review
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Local EPrints ID: 149575
URI: http://eprints.soton.ac.uk/id/eprint/149575
PURE UUID: 22393331-30e5-4e8e-ab00-2dfeae67dfd7
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Date deposited: 10 May 2010 08:37
Last modified: 14 Mar 2024 02:50
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Author:
R.J Putwain
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