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

DOI10.1016/j.jmaa.2023.127152zbMath1525.46047MaRDI QIDQ6044174

Cornel Pasnicu

Publication date: 17 May 2023

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

zbMATH Keywords

crossed productideal propertytopological dimension zeroweak ideal property

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25)

Cites Work

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• \(C^*\)-algebras of real rank zero
• Appendix to O. Bratteli's paper on Crossed products of UHF algebras
• Shape equivalence, nonstable \(K\)-theory and \(AH\) algebras.
• Ideals generated by projections and inductive limit \(C^*\)-algebras
• Ideals in tensor products, topological dimension zero and the weak ideal property
• \(A\mathbb T\) structure of \(AH\) algebras with the ideal property and torsion free \(K\)-theory
• 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
• Actions of finite groups on $C^*$-algebras.
• Twisted crossed products of C*-algebras
• Group C ∗ -Algebras of Real Rank Zero or One
• The Weak Ideal Property and Topological Dimension Zero
• Relating properties of crossed products to those of fixed point algebras
• A Reduction Theorem forAHAlgebras with the Ideal Property
• Purely infinite C*-algebras of real rank zero
• A classification of inductive limit C∗$C^{*}$‐algebras with ideal property

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