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Equivariant $\KK$-theory for generalised actions and Thom isomorphism in groupoid twisted $\K$-theory (1305.2495v2)
Published 11 May 2013 in math.KT, math.AT, and math.OA
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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