\(C^*\)-algebras by example

zbMath0956.46034MaRDI QIDQ5906351

Kenneth R. Davidson

Publication date: 7 April 1999

Published in: Texts and Readings in Mathematics (Search for Journal in Brave)

zbMATH Keywords

crossed products\(K\)-theoryvon Neumann algebras\(C^*\)-algebrasergodic theory\(KK\)-theoryBrown-Douglas-Fillmore theoryreal rank zeroHeisenberg algebrasToeplitz algebraquasidiagonalityCuntz algebrasapproximate unitary equivalencemultiplicity theoryirrational rotation algebraAF extensionsclassification of AF \(C^*\)-algebrascompact \(H\)-space operators algebrasexact 6-term Pimsner-Voiculescu sequencelimit circle algebrasPimsner-Voiculescu embeddingWeyl-von Neumann-Berg theorem

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

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