Titlebook: Operator Algebras and Quantum Statistical Mechanics 1; C*- and W*-Algebras. Ola Bratteli,Derek W. Robinson Book 1987Latest edition Springer

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Operator Algebras and Quantum Statistical Mechanics 1978-3-662-02520-8Series ISSN 1864-5879 Series E-ISSN 1864-5887

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*-Algebras and von Neumann Algebras, case of the theory of Banach algebras. Consequently, the theory can be developed in two different ways. Either one can begin with an abstract description suited to the general analysis of Banach algebras or one may start with a specific representation of the algebra on a Hilbert space. We will follow the first of these approaches.

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Groups, Semigroups, and Generators,e, which represents the motion of the system with time. In classical mechanics one has a group of diffeomorphisms, in quantum mechanics a group of unitary operators on the Hilbert space, and for systems with an infinite number of degrees of freedom a group of automorphisms of the algebra of observab

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1864-5879 after a short honey- moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting peri978-3-642-05736-6978-3-662-02520-8Series ISSN 1864-5879 Series E-ISSN 1864-5887