Decomposable approximations of nuclear \(C^*\)-algebras

DOI10.1016/j.aim.2012.03.028zbMath1256.46019arXiv1109.2379OpenAlexW2053388951MaRDI QIDQ436222

Ilan Hirshberg, Eberhard Kirchberg, Stuart A. White

Publication date: 20 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2379

zbMATH Keywords

nuclear dimensioncompletely positive approximation propertydecomposition ranknuclear \(C^{\ast }\)-algebras

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of operators; tensor products; approximation properties (46B28)

Related Items (12)

APPROXIMATELY MULTIPLICATIVE DECOMPOSITIONS OF NUCLEAR MAPS ⋮ A Kadison–Kastler row metric and intermediate subalgebras ⋮ Nuclear dimension of simple \(\mathrm{C}^*\)-algebras ⋮ Nuclear dimension and \(\mathcal Z\)-stability ⋮ Decomposable approximations and approximately finite dimensional C*-algebras ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ Rokhlin dimension: duality, tracial properties, and crossed products ⋮ Intrinsic covering dimension for nuclear \(C^*\)-algebras with real rank zero ⋮ Perturbations of intermediate C∗-subalgebras for simple C∗-algebras ⋮ Model theory of 𝐶*-algebras ⋮ Rokhlin dimension and \(C^\ast\)-dynamics ⋮ Decomposable Approximations Revisited

Cites Work

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• COVERING DIMENSION AND QUASIDIAGONALITY
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• \(C^*\)-algebras by example

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