CLASSIFICATION OF CERTAIN CONTINUOUS FIELDS OF KIRCHBERG ALGEBRAS

DOI10.1142/S0129167X14500049zbMath1302.46048arXiv1308.2126MaRDI QIDQ5409854

Rasmus Bentmann

Publication date: 15 April 2014

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

Full work available at URL: https://arxiv.org/abs/1308.2126

zbMATH Keywords

\(K\)-theoryKirchberg algebrasclassification of \(C^\ast\)-algebrascontinuous fields

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Classifications of (C^*)-algebras (46L35) Kasparov theory ((KK)-theory) (19K35)

Cites Work

• E-theory for \(C^*\)-algebras over topological spaces
• Localisation and colocalisation of KK-theory
• Continuous fields of \(C^*\)-algebras over finite dimensional spaces
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• \({\mathcal{C}}_{0}(X)\)-algebras, stability and strongly self-absorbing \({\mathcal{C}}^{*}\)-algebras
• One-parameter continuous fields of Kirchberg algebras
• Cosheaves and homology
• Continuous fields of Kirchberg \(C^*\)-algebras
• C*-Algebras over Topological Spaces: Filtrated K-Theory
• One-Parameter Continuous Fields of Kirchberg Algebras. II

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