عنوان

Operator Algebras and Quantum Statistical Mechanics 1 :

(Number (ISBN

3662025205

(Number (ISBN

9783662025208

Number

b579210

Title Proper

Operator Algebras and Quantum Statistical Mechanics 1 :

General Material Designation

[Book]

Other Title Information

C*- and W*-Algebras Symmetry Groups Decomposition of States

First Statement of Responsibility

by Ola Bratteli, Derek W. Robinson.

Edition Statement

Second edition

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1987

Specific Material Designation and Extent of Item

(xiv, 505 pages)

Series Title

Texts and monographs in physics.

Text of Note

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.

Text of Note

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 presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made. The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.

Mathematical physics.

Physics.

by Ola Bratteli, Derek W. Robinson.

Derek W Robinson

Ola Bratteli

Electronic name

[Book]

Y