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Operator Algebras and Quantum Statistical Mechanics 1 : C*- and W*-Algebras Symmetry Groups Decomposition of States /

This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are...

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Bibliographic Details
Main Author: Bratteli, Ola
Corporate Author: SpringerLink (Online service)
Other Authors: Robinson, Derek W.
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1987.
Edition:Second edition.
Series:Texts and monographs in physics.
Subjects:
Physics.
Mathematical physics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Introduction
  • 2. C-Algebras and von Neumann Algebras: C-Algebras; Representations and States; von Neumann Algebras; Tomita--Takesaki Modular Theory and Standard Forms of von Neumann Algebras; Quasi-Local Algebras; Miscellaneous Results and Structure
  • 3. Groups, Semigroups, and Generators: Banach Space Theory; Algebraic Theory
  • 4. Decomposition Theory: General Theory; Extremal, Central, and Subcentral Decompositions; Invariant States; Spatial Decomposition
  • References
  • List of Symbols
  • Subject Index.