Operator Algebras in Dynamical Systems (Encyclopedia of Mathematics and its Applications, Series Number 41)

Sakai, ShÅ ichirÅ

ISBN 10: 0521400961 / ISBN 13: 9780521400961

Published by Cambridge University Press (edition 1), 1991

About this Item

The item might be beaten up but readable. May contain markings or highlighting, as well as stains, bent corners, or any other major defect, but the text is not obscured in any way.

Seller Inventory # 0521400961-7-1

Bibliographic Details

• Title: Operator Algebras in Dynamical Systems (Encyclopedia of Mathematics and its Applications, Series Number 41)
• Publisher: Cambridge University Press (edition 1)
• Publication Date: 1991
• Language: English
• ISBN 10: 0521400961
• ISBN 13: 9780521400961
• Binding: Hardcover
• Edition: 1.
• Condition: Fair

About this title

Synopsis

This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made considerable contributions. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of C*-theory. The presentation concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, the author globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states.

Book Description

This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This presentation concentrates on topics involving quantum statistical mechanics and differentiations on manifolds.