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

DOI10.1017/is013010018jkt244zbMath1311.19003arXiv1305.2495OpenAlexW2963372347MaRDI QIDQ3191170

El-kaïoum M. Moutuou

Publication date: 24 September 2014

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2495

zbMATH Keywords

groupoid actionequivariant KK-theoryThom isomorphismgeneralised actionstwisted KR-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35) Topological groupoids (including differentiable and Lie groupoids) (22A22) Equivariant (K)-theory (19L47) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (3)

Multiplicative structures and the twisted Baum-Connes assembly map ⋮ Twisted crystallographic T-duality via the Baum–Connes isomorphism ⋮ Twisted \(K\)-theory, real \(A\)-bundles and Grothendieck-Witt groups

Cites Work

• Equivariant KK-theory and the Novikov conjecture
• Equivariant Kasparov theory and groupoids. I
• Some remarks on Kasparov theory
• Clifford modules
• Graded Brauer groups and K-theory with local coefficients
• The Brauer group of a locally compact groupoid
• Fell bundles over groupoids

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