Graded Brauer groups of a groupoid with involution

DOI10.1016/j.jfa.2013.12.019zbMath1343.22002arXiv1202.2057OpenAlexW2963179357MaRDI QIDQ2253119

El-kaïoum M. Moutuou

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2057

zbMATH Keywords

topological groupoidsgroupoid cohomologyDixmier-Douady bundlesreal graded \(C^\ast\)-algebrasreal graded extensionsreal groupoids

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Topological groupoids (including differentiable and Lie groupoids) (22A22) Brauer groups (algebraic aspects) (16K50)

Related Items (8)

Geometric construction of classes in van Daele’s K-theory ⋮ Equivariant cohomotopy implies orientifold tadpole cancellation ⋮ T-duality for orientifolds and twisted KR-theory ⋮ Twisted crystallographic T-duality via the Baum–Connes isomorphism ⋮ Algebraic \(K\)-theory and derived equivalences suggested by T-duality for torus orientifolds ⋮ Real Baum-Connes assembly and T-duality for torus orientifolds ⋮ The classification of symmetry protected topological phases of one-dimensional fermion systems ⋮ String theory on elliptic curve orientifolds and \(KR\)-theory

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