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generalised actions

Journal of K-Theory (1)

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Equivariant KK-theory for generalised actions and Thom isomorphism in groupoid twisted K-theory
El-Kaïoum M. Moutuou
Journal:

Journal of K-Theory / Volume 13 / Issue 1 / February 2014

Published online by Cambridge University Press:

15 November 2013, pp. 83-113

Print publication:

February 2014
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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.