Theory of Operator Algebras III
By: by Masamichi Takesaki
Series: Encyclopaedia of Mathematical Sciences, Operator Algebras and Non-Commutative Geometry -- 127; Encyclopaedia of Mathematical Sciences, Operator Algebras and Non-Commutative Geometry -- 127
Publisher: Springer Berlin Heidelberg
Published: 2003
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 548
ISBN-13: 9783642076886; 9783662104538
Subjects: Mathematics; Operator theory
Description: Together with "Theory of Operator Algebras I, II" (EMS 124 and 125), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. It is is part of the recently developed part of the "Encyclopaedia of Mathematical Sciences" on operator algebras and non-commutative geometry (see http://www.springer.de/math/ems/index.html). The book provides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.
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Table of contents: title: Preface; title: Chapter XIII. Ergodic Transformaton Groups and the Associated von Neumann Algebras; title: Chapter XIV. Approximately Finite Dimensional von Neumann Algebras; title: Chapter XV. Nuclear C*-Algebras; title: Chapter XVI. Injective von Neumann Algebras; title: Chapter XVII. Non-Commutative Ergodic Theory; title: Chapter XVIII. Structure of Approximately Finite Dimensional Factors; title: Chapter XIX. Subfactors of a Factor of Tape II1; title: Appendix; title: Bibliography; title: Index.