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Operator Algebras in Dynamical Systems

Door Shôichirô Sakai

Operator Algebras in Dynamical Systems
CategorieAlgemeen wetenschap
Boeknummer#342226
TitelOperator Algebras in Dynamical Systems
AuteurSakai, Shôichirô
BoektypeGebonden hardcover
UitgeverijCambridge : University Press
Jaar van uitgave1991
ISBN100521400961
ISBN139780521400961
TaalEngels
BeschrijvingOriginal boards, illustrated with numerous equations and diagrams, 8vo. Encyclopedia of Mathematics and its Applications, 41.
Samenvatting 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 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 the C*-theory. The presentation, which is based on lectures given in Newcastle upon Tyne and Copenhagen, 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, he 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.
Pagina's219
ConditieGoed — No dust jacket, Name in pen on title page.
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