The ring structure for equivariant twisted K-theory

DOI10.1515/CRELLE.2009.077zbMath1180.19004arXivmath/0604160OpenAlexW1998879250MaRDI QIDQ3645151

Ping Xu, Jean-Louis Tu

Publication date: 16 November 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604160

zbMATH Keywords

\(C^*\)-algebracrossed modulesMorita equivalenceCech cohomologygroupoidsmultiplicatorring structureexternal Kasparov product\(S^1\)-central extensionequivariant twisted \(K\)-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Sheaf cohomology in algebraic topology (55N30) Lie groups (22E99) Topological (K)-theory (55N15) Equivariant (K)-theory (19L47) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (4)

Differential K-Theory: A Survey ⋮ Loop groups and noncommutative geometry ⋮ Multiplicative structures and the twisted Baum-Connes assembly map ⋮ Transgression maps for crossed modules of groupoids

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