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Finite von Neumann Algebras and Masas (London Mathematical Society Lecture Note Series)

Home > Mathematics Books > Linear Algebra > Item 50

	Finite von Neumann Algebras and Masas (London Mathematical Society Lecture Note Series)
	by Allan Sinclair and Roger Smith Sales Rank: 504562	List Price: ~~$80.00~~ $74.13 At Amazon on 10-13-2008

Paperback: 410 pages Publisher: Cambridge University Press; 1 edition July 21, 2008 Language: English ISBN-10: 0521719194 ISBN-13: 978-0521719193 Product Dimensions: 8.9 x 6 x 0.9 inches Shipping Weight: 1.3 pounds *Product Description* 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. *Book Description* Providing an introductory yet 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. All proofs are given in considerable detail.
Finite von Neumann Algebras and Masas (London Mathematical Society Lecture Note Series) Available from Amazon Price: $74.13 Updated on 10-13-2008

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