Modular Theory in Operator Algebras
Published on 3. March 2021
462 pages
978-1-108-96677-1 (ISBN)
Description
The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by S.V. Stratila and L. Zsido) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
4,79 MB
ISBN-13
978-1-108-96677-1 (9781108966771)
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Schweitzer Classification
Other editions
Additional editions
Serban Valentin Stratila
Modular Theory in Operator Algebras
Book
12/2020
Cambridge University Press
€161.50
Shipment within 15-20 days
Content
Preface to the second edition; Preface to the first edition; 1. Normal weights; 2. Conditional expectations and operator valued weights; 3. Groups of automorphisms; 4. Crossed products; 5. Continuous decompositions; 6. Discrete decompositions; Appendix; References; Subject Index; Notation Index.
