\(C^\ast\)-algebras of extensions of groupoids by group bundles

DOI10.1016/j.jfa.2020.108892OpenAlexW3112080648MaRDI QIDQ826493

Jean N. Renault, Aidan Sims, Dana P. Williams, Alexander Kumjian, Marius V. Ionescu

Publication date: 4 January 2021

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

Full work available at URL: https://arxiv.org/abs/2001.01312

zbMATH Keywords

groupoid\textbf{T}-groupoidgroupoid \(C^\ast \)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (3)

The primitive ideal space of groupoid C^*-algebras for groupoids with Abelian isotropy ⋮ Renault's \(j\)-map for Fell bundle \(C^\ast\)-algebras ⋮ Pushouts of extensions of groupoids by bundles of abelian groups

Cites Work

• The primitive ideals of some étale groupoid \(C^\ast\)-algebras
• An equivalence theorem for reduced Fell bundle \(C^\ast\)-algebras
• The Mackey machine for crossed products by regular groupoids. II
• Simplicity of twisted \(C^\ast\)-algebras of higher-rank graphs and crossed products by quasifree actions
• The classification of rotational rotation \(C^*\)-algebras
• The local structure of twisted covariance algebras
• A selection theorem for Banach bundles and applications
• Higher rank graph \(C^*\)-algebras
• Cartan subalgebras and the UCT problem
• Cartan subalgebras for non-principal twisted groupoid \(C^\ast\)-algebras
• Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes
• Cartan subalgebras in \(C^\ast\)-algebras of Hausdorff étale groupoids
• A non-amenable groupoid whose maximal and reduced $C^*$-algebras are the same
• Renault's Equivalence Theorem for Groupoid Crossed Products
• Equivalence and disintegration theorems for Fell bundles and their C^*-algebras
• Cartan subalgebras in C*-algebras
• The Topology on the Primitive Ideal Space of Transformation Group C ∗ - Algebras and C.C.R. Transformation Group C ∗ -Algebras
• The Brauer group of a locally compact groupoid
• Fell bundles over groupoids
• Cartan Subalgebras of Topological Graph Algebras and k-Graph C*-algebras
• Continuous-trace groupoid 𝐶*-algebras. III
• Topological construction of $C^*$-correspondences for groupoid $C^*$-algebras
• SIMPLICITY OF TWISTED C*-ALGEBRAS OF TOPOLOGICAL HIGHER-RANK GRAPHS
• A Tool Kit for Groupoid 𝐶*-Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(C^\ast\)-algebras of extensions of groupoids by group bundles