Finite von Neumann Algebras and Masas

Language: English

Published by Cambridge University Press, GB, 2008

0521719194 / 9780521719193

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A 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.…

Seller Inventory # LU-9780521719193

Title
Finite von Neumann Algebras and Masas
Author
Allan Sinclair, Roger Smith
Publisher
Cambridge University Press, GB
Publication year
2008
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521719194
ISBN 13
9780521719193
Item weight
560 grams

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