C*-algebras hereditarily containing nonzero, square-zero elements

DOI10.4153/S0008439524000511MaRDI QIDQ6655640

George A. Elliott, Mohammad Rouzbehani, Massoud Amini

Publication date: 27 December 2024

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

finiteness propertiesC*-algebrasquare-zero elements

Mathematics Subject Classification ID

Noncommutative topology (46L85) General theory of (C^*)-algebras (46L05) Ideals and subalgebras (46H10)

Cites Work

• Title not available (Why is that?)
• Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
• Non-simple purely infinite \(C^{*}\)-algebras: The Hausdorff case.
• Commutativity of central sequence algebras
• Crossed products by spectrally free actions
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• On the Lie ideals of \(C^\ast\)-algebras
• The Corona Factorization Property, Stability, and the Cuntz Semigroup of a C*-algebra
• Non-simple purely infinite C*-algebras
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• The Global Glimm Property
• Goldie dimension for C*-algebras
• Nowhere scattered \(C^{\ast}\)-algebras
• Weakly purely infinite C\(^*\)-algebras with topological dimension zero are purely infinite
• Rings and C*-algebras generated by commutators

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