Nuclear dimension and 𝒵-stability of non-simple 𝒞*-algebras

DOI10.1090/tran/6842zbMath1373.46057arXiv1308.2941OpenAlexW2563185377MaRDI QIDQ2975766

Aaron Tikuisis, Leonel Robert

Publication date: 12 April 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2941

zbMATH Keywords

central sequence algebraCuntz semigroupnuclear dimension\( \mathcal Z\)-stabilitynon-simple \(C^\ast\)-algebra

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Tensor products of (C^*)-algebras (46L06) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Related Items

Regularity properties of certain crossed product \(C^*\)-algebras ⋮ Inheritance of divisibility forms a large subalgebra ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ Soft operators in C*-algebras ⋮ Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ Majorization in C*-algebras ⋮ Tensor products and regularity properties of Cuntz semigroups ⋮ Model theory of 𝐶*-algebras ⋮ Rokhlin dimension for actions of residually finite groups ⋮ Cuntz semigroups of ultraproduct C∗‐algebras ⋮ \(C^*\)-algebras of stable rank one and their Cuntz semigroups

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