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Equivariant KK-theory for generalised actions and Thom isomorphism in groupoid twisted K-theory

Published online by Cambridge University Press:  15 November 2013

El-Kaïoum M. Moutuou
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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.

Keywords

Equivariant KK-theoryGroupoid actionsTwisted KR-theoryGeneralised actionsThom isomorphism19L5019K3522A2219L47
Type
Research Article
Information
Journal of K-Theory , Volume 13 , Issue 1 , February 2014 , pp. 83 - 113
Copyright
Copyright © ISOPP 2014 

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