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arXiv · 1305.2495

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

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.

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BibTeXRIS

El-kaïoum M. Moutuou. 2013-05-11. Equivariant $\KK$-theory for generalised actions and Thom isomorphism in groupoid twisted $\K$-theory. https://arxiv.org/abs/1305.2495

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