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Operator Algebras [electronic resource] :Theory of C★-Algebras and von Neumann Algebras / by Bruce Blackadar.

by Blackadar, Bruce [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Encyclopaedia of Mathematical Sciences: 122Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: XX, 517 p. online resource.ISBN: 9783540285175.Subject(s): Mathematics | Group theory | Functional analysis | Operator theory | Geometry | Topology | Mathematical physics | Mathematics | Operator Theory | Functional Analysis | Topology | Geometry | Mathematical Methods in Physics | Group Theory and GeneralizationsDDC classification: 515.724 Online resources: Click here to access online
Contents:
Operators on Hilbert Space -- C*-Algebras -- Von Neumann Algebras -- Further Structure -- K-Theory and Finiteness.
In: Springer eBooksSummary: This book is the most comprehensive treatment available of the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, classification of injective factors, K-theory, finiteness, stable rank, and quasidiagonality. The presentation concentrates on carefully and precisely explaining the main features of each part of the theory of operator algebras; most important arguments are at least outlined, and many are presented in full detail, so the volume is much more than a mere survey.
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Operators on Hilbert Space -- C*-Algebras -- Von Neumann Algebras -- Further Structure -- K-Theory and Finiteness.

This book is the most comprehensive treatment available of the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, classification of injective factors, K-theory, finiteness, stable rank, and quasidiagonality. The presentation concentrates on carefully and precisely explaining the main features of each part of the theory of operator algebras; most important arguments are at least outlined, and many are presented in full detail, so the volume is much more than a mere survey.

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