The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras

DOI10.4171/JNCG/226zbMath1348.46066arXiv1312.6289OpenAlexW1569242839MaRDI QIDQ5963574

Gábor Szabó, Dominic Enders, Wilhelm Winter, Hiroki Matui, Selçuk Barlak

Publication date: 22 February 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6289

zbMATH Keywords

Kirchberg algebranuclear dimensionRokhlin dimension

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Related Items (12)

The nuclear dimension of \(\mathcal{O}_\infty \)-stable \(C^\ast \)-algebras ⋮ Applications of model theory to \(C^*\)-dynamics ⋮ Equivariant Kirchberg-Phillips-type absorption for amenable group actions ⋮ Nuclear dimension and \(\mathcal Z\)-stability ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ The nuclear dimension of graph \(C^\ast\)-algebras ⋮ Rokhlin dimension for flows ⋮ On the nuclear dimension of strongly purely infinite \(C^\ast\)-algebras ⋮ Rokhlin dimension for actions of residually finite groups ⋮ Rokhlin actions of finite groups on UHF-absorbing $\mathrm {C}^*$-algebras ⋮ UCT-Kirchberg algebras have nuclear dimension one ⋮ On the nuclear dimension of certain UCT-Kirchberg algebras

Cites Work

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• On the nuclear dimension of certain UCT-Kirchberg algebras
• Decomposition rank of \(\mathcal{Z}\)-stable \(C^*\)-algebras
• Purely infinite \(C^*\)-algebras: ideal-preserving zero homotopies
• Strongly self-absorbing $C^{*}$-algebras
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2

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