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โœฆ   LIBER   โœฆ

Operator algebras: theory of C*-algebras and von Neumann algebras

โœ Scribed by Bruce Blackadar

Book ID
127420397
Publisher
Springer
Year
2006
Tongue
English
Weight
4 MB
Series
Encyclopaedia of mathematical sciences, Operator algebras and non-commutative geometry 122., 3
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540285172
ISSN
0938-0396

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Operator Algebras: Theory of C*-Algebras
Operator Algebras: Theory of C*-Algebras and Von Neumann Algebras
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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,

C*-Algebras and Operator Theory
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โœ Gerard J. Murphy ๐Ÿ“‚ Library ๐Ÿ“… 1990 ๐Ÿ› Academic Press ๐ŸŒ English โš– 2 MB

This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no p

Amenability of Hopf von Neumann Algebras
Amenability of Hopf von Neumann Algebras and Kac Algebras
โœ Zhong-Jin Ruan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1008 KB

Let (M, 1 ) be a Hopf von Neumann algebra. The operator predual M \* of M is a completely contractive Banach algebra with multiplication m=1 \* : M \* M \* ร„ M \* . We call (M, 1 ) operator amenable if the completely contractive Banach algebra M \* is operator amenable, i.e., for every operator M \*