ENGLISH

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

By Shoichiro Sakai

Book information

Publisher
Cambridge University Press
Year
2008
ISBN
0521060214, 9780521060219, 0521400961, 9780521400961
LCC
QA326 .S26 1991
Open Library ID
OL1886825M
Language
english
Format
PDF
Filesize
5 MB (5013123 bytes)
Edition
1
Pages
232\232
Orientation
yes
Scanned
yes
Time added
2012-03-17 06:00:00

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 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.

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