Fell bundles over inverse semigroups and twisted etale groupoids

zbMath1249.46053arXiv0903.3388MaRDI QIDQ3116318

Ruy Exel, Alcides Buss

Publication date: 22 February 2012

Full work available at URL: https://arxiv.org/abs/0903.3388

zbMATH Keywords

crossed productCartan subalgebrainverse semigroupFell bundletwisted étale groupoidupper-semicontinuous Banach bundle

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Inverse semigroups (20M18) Decomposition theory for (C^*)-algebras (46L45)

Related Items (14)

The Haagerup property for twisted groupoid dynamical systems ⋮ Group-graded systems and algebras ⋮ Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness ⋮ Quantales and Fell bundles ⋮ Approximation properties of Fell bundles over inverse semigroups and non-Hausdorff groupoids ⋮ Ideal structure and pure infiniteness of inverse semigroup crossed products ⋮ Amenability for actions of étale groupoids on 𝐶*-algebras and Fell bundles ⋮ Noncommutative Cartan \(\mathrm {C}^*\)-subalgebras ⋮ Functional description of \({C}^\ast\)-algebras associated with group graded systems ⋮ Homotopy invariance through small stabilizations ⋮ The Zappa-Szép product of a Fell bundle and a groupoid ⋮ Representations of \(^\ast\)-algebras by unbounded operators: C\(^\ast\)-hulls, local-global principle, and induction ⋮ Cyclic homology, tight crossed products, and small stabilizations ⋮ Reduced \(C^*\)-algebras of Fell bundles over inverse semigroups

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