Description

Book Synopsis

This book is an introductory text on one of the most important fields of Mathematics, the theory of operator algebras. It offers a readable exposition of the basic concepts, techniques, structures and important results of operator algebras. Written in a self-contained manner, with an emphasis on understanding, it serves as an ideal text for graduate students.

Table of Contents

Fundamentals of von Neumann algebras; fundamentals of C-algebras; tensor products of C-algebras; W-algebras; Abelian operator algebras; the classificaton of type (III) factors; Borel structures; the Borel spaces of von Neumann algebras; reduction theory; type I C-algebras; decomposition theory; (AF)-algebras; crossed products; Jones index theory.

Introduction To Operator Algebras

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    A Hardback by Bingren Li

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 1 September 1992
      ISBN-13 9789810209414
      978-9810209414
      ISBN-10 981020941X
      Also in:
      Algebra

      Description

      Book Synopsis

      This book is an introductory text on one of the most important fields of Mathematics, the theory of operator algebras. It offers a readable exposition of the basic concepts, techniques, structures and important results of operator algebras. Written in a self-contained manner, with an emphasis on understanding, it serves as an ideal text for graduate students.

      Table of Contents

      Fundamentals of von Neumann algebras; fundamentals of C-algebras; tensor products of C-algebras; W-algebras; Abelian operator algebras; the classificaton of type (III) factors; Borel structures; the Borel spaces of von Neumann algebras; reduction theory; type I C-algebras; decomposition theory; (AF)-algebras; crossed products; Jones index theory.

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