Generators in \(\mathcal{Z}\)-stable \(C^{\ast}\)-algebras of real rank zero

DOI10.4171/JNCG/454MaRDI QIDQ2697945

Hannes Thiel

Publication date: 14 April 2023

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

Full work available at URL: https://arxiv.org/abs/2006.08404

zbMATH Keywords

real rank\(C^{\ast}\)-algebrasgenerator problemgenerator ranksingle generation

Mathematics Subject Classification ID

Noncommutative topology (46L85) General theory of (C^*)-algebras (46L05)

Cites Work

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• Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
• Continuous fields of \(C^*\)-algebras over finite dimensional spaces
• \(C^*\)-algebras of real rank zero
• The generator rank of \(C^\ast \)-algebras
• Strongly self-absorbing $C^{*}$-algebras
• The Jiang–Su algebra revisited
• Some C ∗ -Algebras with a Single Generator
• Non-simple purely infinite C*-algebras
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• The generator problem for $\mathcal {Z}$-stable $C^*$-algebras
• The generator rank of subhomogeneous -algebras

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