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Main subject categories: • Operator algebras • von Neumann algebras (almost a prerequisite)Chapter headings • Ch I Normal Weights • Ch II Conditional Expectations and Operator-Valued Weights • Ch III Groups of Automorphisms • Ch IV Crossed Products • Ch V Continuous Decompositions • Ch VI Discrete DecompositionsThe first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsidó) 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 III1 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 con

Who reads Modular Theory in Operator Algebras: Second Edition?

Author

Serban Valentin Strătilă

Publisher

Cambridge University Press (Virtual Publishing)

Published

2020

Language

EN

ISBN

9781108779036

Category

nonfiction

Subjects

Mathematics, Functional Analysis, Stem