Fell bundles over groupoids
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Publication:4383100
DOI10.1090/S0002-9939-98-04240-3zbMath0891.46038arXivmath/9607230MaRDI QIDQ4383100
Publication date: 24 March 1998
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9607230
\(C^*\)-algebrassemi-direct productstrongly Morita equivalentequivalence for Fell bundlesFell bundles over groupoids
Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Decomposition theory for (C^*)-algebras (46L45)
Related Items (31)
\(C^\ast\)-algebras of extensions of groupoids by group bundles ⋮ The Haagerup property for twisted groupoid dynamical systems ⋮ Tube representations and twisting of graded categories ⋮ Group-graded systems and algebras ⋮ A perspective on non-commutative quantum gravity ⋮ Equivariant KK-theory for generalised actions and Thom isomorphism in groupoid twisted K-theory ⋮ Open maps of involutive quantales ⋮ A horizontal categorification of Gel'fand duality ⋮ Renault's \(j\)-map for Fell bundle \(C^\ast\)-algebras ⋮ Exponential functors, \(R\)-matrices and twists ⋮ A CRITERION FOR HYPERSYMMETRY ON DISCRETE GROUPOIDS ⋮ Quantales and Fell bundles ⋮ Approximation properties of Fell bundles over inverse semigroups and non-Hausdorff groupoids ⋮ Groupoid semidirect product Fell bundles II --- principal actions and stabilization ⋮ Amenability for actions of étale groupoids on 𝐶*-algebras and Fell bundles ⋮ On the geometry of physical measurements: topological and algebraic aspects ⋮ The many groupoids of a stably Gelfand quantale ⋮ 𝐶*-algebras associated with branched coverings ⋮ Crossed Products by Hecke Pairs ⋮ The Zappa-Szép product of a Fell bundle and a groupoid ⋮ Twisted K-theory of differentiable stacks ⋮ Open quotients of trivial vector bundles ⋮ Cartan subalgebras and the UCT problem ⋮ Structure for regular inclusions. II: Cartan envelopes, pseudo-expectations and twists ⋮ Simplicity of twisted \(C^\ast\)-algebras of higher-rank graphs and crossed products by quasifree actions ⋮ Sectional algebras of semigroupoid bundles ⋮ Opposite algebras of groupoid \(C^*\)-algebras ⋮ CATEGORIFIED NONCOMMUTATIVE MANIFOLDS ⋮ Bimodules, spectra, and Fell bundles ⋮ C*-algebras associated with interval maps ⋮ REPRESENTING STRUCTURED SEMIGROUPS ON ÉTALE GROUPOID BUNDLES
Cites Work
- Groupoid dynamical systems and crossed product. II. The case of \(C^*\)- systems
- \(W^ *\)-categories
- A groupoid approach to C*-algebras
- Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
- Induced representations and Banach \(^*\)-algebraic bundles. With an appendix due to A. Douady and L. Dal Soglio-Herault
- Induced representations of C\(^*\)-algebras
- Representations of Crossed Products by Coactions and Principal Bundles
- On the projection of norm one in $W^ *$-algebras
- Takesaki's duality for a non-degenerate co-action.
- On C*-Diagonals
- Twisted crossed products of C*-algebras
- Duality for actions and coactions of measured groupoids on von Neumann algebras
- An extension of Mackey’s method to Banach *-algebraic bundles
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