Finite Von Neumann Algebras and Masas
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Finite Von Neumann Algebras and Masas by Allan M. Sinclair
Book DescriptionA thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory.
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Book DetailsISBN: 9780521719193
(228mm x 152mm x 21mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 26-Jun-2008
Country of Publication: United Kingdom
Books By Author Allan M. Sinclair
Hochschild Cohomology of Von Neumann Algebras, Paperback (March 1995)
This book gives an introduction to biotransformations, the practice of harnessing biological catalysts for the preparation of useful chemicals.
Continuous Semigroups in Banach Algebras, Paperback (June 1982)
In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed.
Automatic Continuity of Linear Operators, Paperback (February 1976)» View all books by Allan M. Sinclair
Some of the results on automatic continuity of intertwining operators and homomorphisms that were obtained between 1960 and 1973 are collected here.
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Author Biography - Allan M. Sinclair
Allan M. Sinclair is a Professor Emeritus in the School of Mathematics at the University of Edinburgh. Roger R. Smith is a Professor in the Department of Mathematics at Texas A&M University.
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