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Equivariant $\KK$-theory for generalised actions and Thom isomorphism in groupoid twisted $\K$-theory by Moutuou, El-kaïoum M. is a scholarly article available to read on EtoBox.

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

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.

Author

Moutuou, El-kaïoum M.

Published

2013

Language

EN