The Brauer group of a locally compact groupoid

DOI10.1353/ajm.1998.0040zbMath0916.46050arXivfunct-an/9706004OpenAlexW2045773861MaRDI QIDQ4215665

Dana P. Williams, Paul S. Muhly, Alexander Kumjian, Jean N. Renault

Publication date: 12 July 1999

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9706004

zbMATH Keywords

inductive limitHaar systemgroupoidMorita equivalencetwistBrauer groupgroupoid cohomologyFell's conditioncontinuous trace \(C^*\)-algebra\(\text{C}^*\)-algebras bundleDixmier-Douadi invariantelementary \(C^*\)-bundleimprimitivity groupoid

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (22)

\(C^\ast\)-algebras of extensions of groupoids by group bundles ⋮ Toeplitz algebras associated to endomorphisms of Ore semigroups ⋮ On some permanence properties of exact groupoids ⋮ Chern character for twisted \(K\)-theory of orbifolds ⋮ Equivariant KK-theory for generalised actions and Thom isomorphism in groupoid twisted K-theory ⋮ The Dixmier-Douady class of groupoid crossed products ⋮ Groupoid semidirect product Fell bundles II --- principal actions and stabilization ⋮ A Dixmier-Douady theorem for Fell algebras ⋮ 𝐶*-algebras associated with branched coverings ⋮ Topological T-duality, automorphisms and classifying spaces ⋮ The Brauer semigroup of a groupoid and a symmetric imprimitivity theorem ⋮ Twisted K-theory of differentiable stacks ⋮ Graded Brauer groups of a groupoid with involution ⋮ \(C^{\ast}\)-algebras associated to graphs of groups ⋮ Crossed module actions on continuous trace \(C^*\)-algebras ⋮ Irreducible representations of groupoid 𝐶*-algebras ⋮ Continuous-trace groupoid crossed products ⋮ Haar systems on equivalent groupoids ⋮ Twists over étale groupoids and twisted vector bundles ⋮ Crossed products by \(C_0(X)\)-actions ⋮ The ring structure for equivariant twisted K-theory ⋮ Groupoid cohomology and extensions

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