Ideals in tensor products, topological dimension zero and the weak ideal property

DOI10.1016/J.JMAA.2021.125210zbMath1467.46051OpenAlexW3150991823MaRDI QIDQ2033232

Cornel Pasnicu

Publication date: 14 June 2021

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.2021.125210

zbMATH Keywords

ideallargest idealstensor product C*-algebratopological dimension zeroweak ideal property

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Tensor products of (C^*)-algebras (46L06)

Related Items (1)

Crossed products, the weak ideal property, and topological dimension zero

Cites Work

• Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
• Non-simple purely infinite \(C^{*}\)-algebras: The Hausdorff case.
• Tensor products of \(C^*\)-algebras with the ideal property
• Crossed products by spectrally free actions
• Approximations of \(C^{*}\)-algebras and the ideal property
• Permanence properties for crossed products and fixed point algebras of finite groups
• Limits and C*-algebras of low rank or dimension
• Non-simple purely infinite C*-algebras
• On the Classification of Simple Stably Projectionless C^*-Algebras
• The Weak Ideal Property and Topological Dimension Zero
• Relating properties of crossed products to those of fixed point algebras
• Purely infinite C*-algebras of real rank zero

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