Projection lifting from the corona algebra using UCT

DOI10.1016/J.JMAA.2016.04.037zbMath1356.46045OpenAlexW2340965891MaRDI QIDQ281876

Hyun Ho Lee

Publication date: 11 May 2016

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.2016.04.037

zbMATH Keywords

\(C(X)\)-algebrascorona algebraKirchberg algebrasprojection lifting

Mathematics Subject Classification ID

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

Related Items (1)

Homotopy classification of homogeneous projections in the corona algebra of \(C(X,B)\) for a graph \(X\)

Cites Work

• Unnamed Item
• A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras
• Proper asymptotic unitary equivalence in KK-theory and projection lifting from the corona algebra
• Continuous fields of \(C^*\)-algebras over finite dimensional spaces
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• \(C^*\)-algebras of real rank zero
• Certain \(C^*\)-algebras with real rank zero and their corona and multiplier algebras. I
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Multipliers of C -algebras
• Homotopy Classification of Projections in the Corona Algebra of a Non-simple C*-algebra
• Subtriviality of continuous fields of nuclear C*-algebras.

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