The inheritance of tracial nuclear dimension for centrally large subalgebras

DOI10.1016/j.jmaa.2020.124491zbMath1462.46071OpenAlexW3049248323MaRDI QIDQ2199322

Qing Zhai Fan, Xia Zhao, Xiao Chun Fang

Publication date: 16 September 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124491

zbMATH Keywords

centrally large subalgebranuclear $C^*$-algebratracial nuclear dimension

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Cites Work

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• Minimal dynamics and \(K\)-theoretic rigidity: Elliott's conjecture
• The \({C}^\ast\)-algebra of a minimal homeomorphism of zero mean dimension
• The nuclear dimension of \(C^{*}\)-algebras
• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• Dimension functions on simple \(C^*\)-algebras
• Decomposition rank and \(\mathcal{Z}\)-stability
• K-Theory for operator algebras. Classification of C$^*$-algebras
• Centrally Large Subalgebras and Tracial ${\boldsymbol{\mathcal{Z}}}$ Absorption
• Cancellation and stable rank for direct limits of recursive subhomogeneous algebras