Operator Algebras and Quantum Statistical Mechanics 1

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

O. Bratteli, D.W. Robinson

520 pages, parution le 17/01/2003 (2^eme édition)

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Résumé

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.

Contents

Introduction

C*- Algebras and von Neumann Algebras

C*- Algebras
Functional and Spectral Analysis
Representations and States
von Neumann Algebras
Tomita--Takesaki Modular Theory and Standard Forms of von Neumann Algebras
Quasi-Local Algebras
Miscellaneous Results and Structure
Groups, Semigroups, and Generators
Banach Space Theory
Algebraic Theory
Decomposition Theory
General Theory
Extremal, Central, and Subcentral Decompositions
Invariant States
Spatial Decomposition

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	O. Bratteli, D.W. Robinson
Parution	17/01/2003
Édition	2^eme édition
Nb. de pages	520
Format	16 x 24
Couverture	Relié
Poids	895g
Intérieur	Noir et Blanc
EAN13	9783540170938