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Finite von Neumann Algebras and Masas by Allan Sinclair

Finite von Neumann Algebras and Masas

by Allan Sinclair , Roger Smith
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Book cover type: Paperback
  • ISBN13: 9780521719193
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 410
  • Original Price: GBP 92.0
  • Language: English
  • Edition: N/A
  • Item Weight: 590 grams
  • BISAC Subject(s): Differential Equations / General

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 an 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.

Sinclair, Allan: - Allan M. Sinclair is a Professor Emeritus in the School of Mathematics at the University of Edinburgh.

Smith, Roger: - Roger R. Smith is a Professor in the Department of Mathematics at Texas A&M University.

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