Constructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang-Su algebra

DOI10.1515/crelle-2015-0091zbMath1416.46057arXiv1503.03800OpenAlexW2963022644MaRDI QIDQ1668313

Robin J. Deeley, Karen R. Strung, Ian F. Putnam

Publication date: 3 September 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03800

zbMATH Keywords

Jiang-Su algebraétale equivalence relationgroupoid $C^*$-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (16)

Inverse systems of groupoids, with applications to groupoid \(C^{\ast}\)-algebras ⋮ Cartan subalgebras for non-principal twisted groupoid \(C^\ast\)-algebras ⋮ Minimal homeomorphisms and topological \(K\)-theory ⋮ Chaotic tracial dynamics ⋮ Classifiable \(\mathrm{C}^*\)-algebras from minimal \(\mathbb{Z} \)-actions and their orbit-breaking subalgebras ⋮ Cartan subalgebras and the UCT problem. II ⋮ Some classifiable groupoid \(C^{*}\)-algebras with prescribed \(K\)-theory ⋮ Nuclear dimension of crossed products associated to partial dynamical systems ⋮ Decomposable partial actions ⋮ Every classifiable simple C\(^*\)-algebra has a Cartan subalgebra ⋮ Groupoid models of \(C^*\)-algebras and the Gelfand functor ⋮ Cartan subalgebras in C*-algebras. Existence and uniqueness ⋮ Hausdorff tight groupoids generalised ⋮ Constructing equivalence bimodules between noncommutative solenoids: a two-pronged approach ⋮ CARTAN SUBALGEBRAS IN DIMENSION DROP ALGEBRAS ⋮ REPRESENTING STRUCTURED SEMIGROUPS ON ÉTALE GROUPOID BUNDLES

Cites Work

• Unnamed Item
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• Minimal dynamics and \(K\)-theoretic rigidity: Elliott's conjecture
• The range of a class of classifiable separable simple amenable \(C^{*}\)-algebras
• Asymptotic unitary equivalence and classification of simple amenable \(C^{\ast}\)-algebras
• Nuclear dimension and \(\mathcal{Z}\)-stability of pure \(C^{\ast}\)-algebras
• Simple \(C^{*}\)-algebras with locally finite decomposition rank
• Nuclear dimension and \(\mathcal Z\)-stability
• Lifting \(KK\)-elements, asymptotic unitary equivalence and classification of simple C\(^*\)-algebras
• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• A groupoid approach to C*-algebras
• Approximately central matrix units and the structure of noncommutative tori
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Simple \(C^*\)-algebras with perforation
• On the \(K\)-theory of \(C^*\)-algebras of principal groupoids
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• A simple \(C^ *\)-algebra with a finite and an infinite projection.
• On the classification problem for nuclear \(C^*\)-algebras
• \(C^\ast\)-algebras of minimal dynamical systems of the product of a Cantor set and an odd dimensional sphere
• On rings of operators. IV
• Decomposition rank and \(\mathcal{Z}\)-stability
• Minimal dynamics and the classification of C*-algebras
• MINIMAL DYNAMICS AND $\mathcal{Z}$-STABLE CLASSIFICATION
• Strongly self-absorbing $C^{*}$-algebras
• Crossed products by minimal homeomorphisms
• On the topological stable rank of certain transformation group C*-algebras
• Differential Topology
• On a Simple Unital Projectionless C*-Algebra
• Tracially AF 𝐶*-algebras
• COVERING DIMENSION AND QUASIDIAGONALITY
• Minimal Dynamical Systems on Connected Odd Dimensional Spaces
• Recursive subhomogeneous algebras
• Subshifts and perforation
• The Elusive Fixed Point Property

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