Z-Stability and Finite-Dimensional Tracial Boundaries

DOI10.1093/imrn/rnu001zbMath1335.46054arXiv1209.3292OpenAlexW3125669370MaRDI QIDQ5254023

Wilhelm Winter, Andrew S. Toms, Stuart A. White

Publication date: 8 June 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3292

zbMATH Keywords

\(\mathcal{Z}\)-stabilitysimple separable unital nuclear nonelementary \(C^\ast\)-algebra

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Related Items (26)

Uniform property for certain -algebras ⋮ Radius of comparison and mean cohomological independence dimension ⋮ Ranks of operators in simple \(C^*\)-algebras with stable rank one ⋮ Invariant ergodic measures and the classification of crossed product \(C^{\ast}\)-algebras ⋮ Strict comparison for \(C^*\)-algebras arising from almost finite groupoids ⋮ Comparison properties for asymptotically tracially approximation \(C^*\)-algebras ⋮ Hereditary uniform property \(\Gamma\) ⋮ Dynamical comparison and \(\mathcal{Z} \)-stability for crossed products of simple \(C^\ast \)-algebras ⋮ Tracial oscillation zero and \(\mathcal{Z}\)-stability ⋮ Subalgebras of simple AF-algebras ⋮ Nuclear dimension and 𝒵-stability of non-simple 𝒞*-algebras ⋮ Dimension, comparison, and almost finiteness ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ Rokhlin dimension: duality, tracial properties, and crossed products ⋮ A local characterization for the Cuntz semigroup of AI-algebras ⋮ Equivariant property (SI) revisited ⋮ Certain Cuntz semigroup properties of certain crossed product \(C^*\)-algebras ⋮ Tensor products and regularity properties of Cuntz semigroups ⋮ Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras ⋮ The Cuntz semigroup and the radius of comparison of the crossed product by a finite group ⋮ 𝒵-stability of transformation group C*-algebras ⋮ Rokhlin dimension for actions of residually finite groups ⋮ Variations of projectivity for \(C^\ast\)-algebras ⋮ Locally trivial W∗-bundles ⋮ \(C^*\)-algebras of stable rank one and their Cuntz semigroups ⋮ Regularity of simple nuclear realC*-algebras under tracial conditions

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