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Springer Theory of Operator Algebras II - Mathematics Book

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Description

Explore the advanced mathematical foundations of von Neumann algebras with Theory of Operator Algebras II. Published by Springer as part of the Encyclopaedia of Mathematical Sciences (Volume 125), this text continues the specialized subseries on Operator Algebras and Non-Commutative Geometry. The content addresses the theory initiated by Murray and von Neumann in the 1930s and 1940s. It provides a technical examination of von Neumann algebras, defined as self-adjoint unital subalgebras of bounded operators in a Hilbert space that are closed in the weak operator topology. Readers will find detailed coverage of the bicommutant theorem and the properties of factors, which are von Neumann algebras with a trivial centre. This volume serves as a professional resource for those studying operator theory and its applications in non-commutative geometry.

Key Features

Part of the Springer Encyclopaedia of Mathematical Sciences series, volume 125.

Covers the fundamental theory of von Neumann algebras and non-commutative geometry.

Includes detailed discussion on the bicommutant theorem and weak operator topology.

Provides mathematical analysis of factors and algebras with trivial centres.

Builds upon the foundational work of Murray and von Neumann from the 1930s and 1940s.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
01 November 2002
Listed Since
23 January 2007

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