Texas Sky by John Graves

Texas Sky by John Graves

In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of develop- ment it was realized that this would entail the omission ofvarious interesting topics or details. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications. This splitting into theory and applications is conventional but somewhat arbitrary. In the last 15-20 years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems of field theory and statistical mechanics. But the theory of 20 years aga was largely developed for the analysis of group representations and it was inadequate for many physical applications. Thus after a short honey- moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting period ensued in which mathematical physicists were forced to redevelop the theory in relevant directions. New concepts were introduced, e. g. asymptotic abelian- ness and KMS states, new techniques applied, e. g. the Choquet theory of barycentric decomposition for states, and new structural results obtained, e. g. the existence of a continuum of nonisomorphic type-three factors.

WYMAN MEINZER is a Texas photographer who has published multiple books and has been named Texas State Photographer by the Texas Legislature. His work has appeared in publications all around the country, and he is a regular writer to Texas Highways and Texas Parks & Wildlife.

SKU	Unavailable
ISBN 13	9780292752184
ISBN 10	0292752180
Title	Texas Sky
Author	John Graves
Condition	Unavailable
Binding Type	Hardback
Publisher	University of Texas Press
Year published	1998-01-01
Number of pages	132
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.