Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
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Publication:2662330
DOI10.25537/dm.2021v26.271-335zbMath1472.46071arXiv1906.06202OpenAlexW2952577203MaRDI QIDQ2662330
Ralf Meyer, Bartosz Kosma Kwaśniewski
Publication date: 12 April 2021
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.06202
Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Inverse semigroups (20M18)
Related Items (16)
Free actions of groups on separated graph 𝐶*-algebras ⋮ The Haagerup property for twisted groupoid dynamical systems ⋮ Spectrum of weighted isometries: \(C^*\)-algebras, transfer operators and topological pressure ⋮ A uniqueness theorem for twisted groupoid \(C^{*}\)-algebras ⋮ A generalization of Whyburn's theorem, and aperiodicity for abelian \(C^\ast\)-inclusions ⋮ RELATIVELY AMENABLE ACTIONS OF THOMPSON’S GROUPS ⋮ Renault's \(j\)-map for Fell bundle \(C^\ast\)-algebras ⋮ Boundary maps and covariant representations ⋮ Inductive limits of noncommutative Cartan inclusions ⋮ Ideal structure and pure infiniteness of inverse semigroup crossed products ⋮ Some results regarding the ideal structure of C∗$C^*$‐algebras of étale groupoids ⋮ Algebraic actions. I: \(\mathrm{C}^\ast\)-algebras and groupoids ⋮ Left regular representations of Garside categories I. C*-algebras and groupoids ⋮ Alexandrov groupoids and the nuclear dimension of twisted groupoid \(C^\ast\)-algebras ⋮ Noncommutative Cartan \(\mathrm {C}^*\)-subalgebras ⋮ Boundary maps, germs and quasi-regular representations
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