ALMOST MULTIPLICATIVE MORPHISMS AND K-THEORY

DOI10.1142/S0129167X0000043XzbMath0965.46045MaRDI QIDQ4529122

Huaxin Lin, Guihua Gong

Publication date: 5 August 2001

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

zbMATH Keywords

\(*\)-homomorphismsK-theoryKK-theoryalmost multiplicative morphismsapproximately unitary equivalenceK-theoretical maps

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Kasparov theory ((KK)-theory) (19K35) (K_0) as an ordered group, traces (19K14)

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Cites Work

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• Topological methods for \(C^*\)-algebras. IV: Mod p homology
• Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras
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• Approximation by normal elements with finite spectra in \(C^*\)-algebras of real rank zero
• \(C^*\)-algebra homomorphisms and \(KK\)-theory
• Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras
• A universal multicoefficient theorem for the Kasparov groups
• Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• The real rank of inductive limit $C^*$-algebras.