Publisher description for Finite von Neumann algebras and masas / Allan M. Sinclair, Roger R. Smith.

Bibliographic record and links to related information available from the Library of Congress catalog

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Providing a thorough account of the methods that underly 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. There are appendices covering the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. All proofs are given in considerable detail and standard basic examples are provided, ensuring the book is accessible to postgraduate students with basic knowledge of von Neumann algebra theory.

Library of Congress subject headings for this publication:
Von Neumann algebras.