NONSTABILITY OF THE IDEALS OF THE CORONA ALGEBRA OF A SEPARABLE STABLE PRIME C*-ALGEBRA

DOI10.1142/S0129167X10006008zbMath1200.46052OpenAlexW2124105848MaRDI QIDQ5305529

Ping Wong Ng

Publication date: 22 March 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x10006008

zbMATH Keywords

stability\(C^*\)-algebramultiplier algebracorona algebrapurely infiniteHelmborg-Rørdam propertyZhang's dichotomy

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Cites Work

• Trivial \(K_ 1\)-flow of AF algebras and finite von Neumann algebras
• \(C^*\)-algebras of real rank zero
• On the structure of simple \(C^*\)-algebras tensored with a UHF-algebra. II
• Certain \(C^*\)-algebras with real rank zero and their corona and multiplier algebras. I
• Derivations of matroid C\(^*\)-algebras. II
• Dimension functions on simple \(C^*\)-algebras
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• On stability of \(C^*\)-algebras
• C*-ALGEBRAS WITH REAL RANK ZERO AND THEIR CORONA AND MULTIPLIER ALGEBRAS PART IV
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• Simple corona $C^*$-algebras
• An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem.

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