Amenability for Fell bundles over groupoids

zbMath1297.46047arXiv1201.0792MaRDI QIDQ405397

Aidan Sims, Dana P. Williams

Publication date: 5 September 2014

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

Full work available at URL: https://arxiv.org/abs/1201.0792

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (15)

Amenability and uniqueness for groupoids associated with inverse semigroups ⋮ Ideal structure and pure infiniteness of inverse semigroup crossed products ⋮ Equivariant higher twisted K$K$‐theory of SU(n)$SU(n)$ for exponential functor twists ⋮ Amenability for actions of étale groupoids on 𝐶*-algebras and Fell bundles ⋮ Structural, point-free, non-Hausdorff topological realization of Borel groupoid actions ⋮ Groupoid Fell bundles for product systems over quasi-lattice ordered groups ⋮ On a construction due to Khoshkam and Skandalis ⋮ \(C^\ast\)-dynamical systems of solvable Lie groups ⋮ Fredholm criteria for pseudodifferential operators and induced representations of groupoid algebras ⋮ Reduced \(C^*\)-algebras of Fell bundles over inverse semigroups ⋮ Simplicity of twisted \(C^\ast\)-algebras of higher-rank graphs and crossed products by quasifree actions ⋮ Pushouts of extensions of groupoids by bundles of abelian groups ⋮ Irreducible induced representations of Fell bundle 𝐶*-algebras ⋮ Intermediate C*-algebras of Cartan embeddings ⋮ A groupoid picture of the Elek algebras

Cites Work

• On a duality for crossed products of C\(^*\)-algebras
• The Mackey-Glimm dichotomy for foliations and other Polish groupoids
• Graphs of $C^*$-correspondences and Fell bundles
• Equivalence and disintegration theorems for Fell bundles and their C^*-algebras
• Haar Measure for Measure Groupoids
• Amenability for Fell bundles.

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