Equivariant KK-theory for generalised actions and Thom isomorphism in groupoid twisted K-theory
Equivariant KK-theory for generalised actions and Thom isomorphism in groupoid twisted K-theory
We develop equivariant KK–theory for locally compact groupoid actions by Morita equivalences on real and complex graded C*-algebras. Functoriality with respect to generalised morphisms and Bott periodicity are discussed. We introduce Stiefel-Whitney classes for real or complex equivariant vector bundles over locally compact groupoids to establish the Thom isomorphism theorem in twisted groupoid K–theory.
twisted k-theory, kk-theory, thom isomorphism, groupoids, generalised actions
83-113
Moutuou, El-Kaioum M.
ce4ffbcf-e3b6-4946-ae15-0081205d6af9
February 2014
Moutuou, El-Kaioum M.
ce4ffbcf-e3b6-4946-ae15-0081205d6af9
Moutuou, El-Kaioum M.
(2014)
Equivariant KK-theory for generalised actions and Thom isomorphism in groupoid twisted K-theory.
Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology, 13 (1), .
(doi:10.1017/is013010018jkt244).
Abstract
We develop equivariant KK–theory for locally compact groupoid actions by Morita equivalences on real and complex graded C*-algebras. Functoriality with respect to generalised morphisms and Bott periodicity are discussed. We introduce Stiefel-Whitney classes for real or complex equivariant vector bundles over locally compact groupoids to establish the Thom isomorphism theorem in twisted groupoid K–theory.
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e-pub ahead of print date: 15 November 2013
Published date: February 2014
Keywords:
twisted k-theory, kk-theory, thom isomorphism, groupoids, generalised actions
Organisations:
Pure Mathematics
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Local EPrints ID: 365190
URI: http://eprints.soton.ac.uk/id/eprint/365190
ISSN: 1865-2433
PURE UUID: b82c0919-39c5-4714-a6cc-f3e2e057538d
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Date deposited: 29 May 2014 13:21
Last modified: 14 Mar 2024 16:48
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Author:
El-Kaioum M. Moutuou
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