Weakly purely infinite C\(^*\)-algebras with topological dimension zero are purely infinite

MaRDI QIDQ6600679

Mohammad Rouzbehani, George A. Elliott

Publication date: 10 September 2024

Published in: Comptes Rendus Mathématiques de l'Académie des Sciences (Search for Journal in Brave)

zbMATH Keywords

C\(^*\)-algebratopological dimension zero(weak) pure infiniteness

Mathematics Subject Classification ID

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

Cites Work

• Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
• \(C^*\)-algebras of real rank zero
• The nuclear dimension of \(\mathcal{O}_\infty \)-stable \(C^\ast \)-algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• The Corona Factorization Property, Stability, and the Cuntz Semigroup of a C*-algebra
• Strongly self-absorbing $C^{*}$-algebras
• Limits and C*-algebras of low rank or dimension
• Non-simple purely infinite C*-algebras
• An Introduction to C*-Algebras and the Classification Program
• Purely infinite C*-algebras of real rank zero

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