Alexandrov groupoids and the nuclear dimension of twisted groupoid \(C^\ast\)-algebras

DOI10.1016/j.jfa.2024.110372arXiv2211.00547MaRDI QIDQ6200786

Anna Duwenig, Astrid an Huef, Maria Grazia Viola, Kristin Courtney, Magdalena C. Georgescu

Publication date: 25 March 2024

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

Full work available at URL: https://arxiv.org/abs/2211.00547

zbMATH Keywords

topological dimensionnuclear dimensiondynamic asymptotic dimensiontwisted groupoid \(\mathrm{C}^\ast\)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Cites Work

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• The nuclear dimension of graph \(C^\ast\)-algebras
• Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras
• Dynamic asymptotic dimension: relation to dynamics, topology, coarse geometry, and \(C^\ast\)-algebras
• Graphs, groupoids, and Cuntz-Krieger algebras
• On the existence of slices for actions of non-compact Lie groups
• Decomposition rank of approximately subhomogeneous \(C^*\)-algebras
• The Cuntz-Toeplitz algebras have nuclear dimension one
• The nuclear dimension of \(C^{*}\)-algebras
• Cuntz-Krieger algebras of directed graphs
• Transformation group C*-algebras with continuous trace
• Primitive ideals in enveloping algebras
• The Baum-Connes conjecture for amenable foliations
• Finitely generated nilpotent group \({C}^\ast\)-algebras have finite nuclear dimension
• Cartan subalgebras and the UCT problem
• K-theory and homotopies of twists on ample groupoids
• Opposite algebras of groupoid \(C^*\)-algebras
• The Haagerup property for twisted groupoid dynamical systems
• The nuclear dimension of \(\mathcal{O}_\infty \)-stable \(C^\ast \)-algebras
• A uniqueness theorem for twisted groupoid \(C^{*}\)-algebras
• Dimension, comparison, and almost finiteness
• Graded \(C^*\)-algebras and twisted groupoid \(C^*\)-algebras
• Every classifiable simple C\(^*\)-algebra has a Cartan subalgebra
• Almost finiteness and the small boundary property
• Topological dimension and dynamical systems. Translated from the French by the author
• Subalgebras of \(C^ *\)-algebras
• Nuclear dimension of simple \(\mathrm{C}^*\)-algebras
• Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
• Characterizing groupoid \(C^*\)-algebras of non-Hausdorff étale groupoids
• Classifiability of crossed products by nonamenable groups
• The representation theory of C*-algebras associated to groupoids
• Irreducible representations of nilpotent groups generate classifiable C*-algebras
• Finite decomposition rank for virtually nilpotent groups
• AF-embeddings of graph $C^*$-algebras
• Cartan subalgebras in C*-algebras
• On C*-Diagonals
• The Topology on the Primitive Ideal Space of Transformation Group C ∗ - Algebras and C.C.R. Transformation Group C ∗ -Algebras
• Continuous Trace Groupoid $C^*$-Algebras, II.
• Continuous-trace groupoid 𝐶*-algebras. III
• COVERING DIMENSION AND QUASIDIAGONALITY
• Decomposition Rank of Subhomogeneous C*-Algebras
• Dynamic asymptotic dimension for actions of virtually cyclic groups
• Constructing Menger Manifold C*-Diagonals in Classifiable C*-Algebras
• The primitive ideal space of groupoid C^*-algebras for groupoids with Abelian isotropy
• A Tool Kit for Groupoid 𝐶*-Algebras
• Recursive subhomogeneous algebras
• C *-uniqueness Results for Groupoids
• Nuclear dimension of extensions of O∞-stable algebras

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