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Theoretical and Mathematical Physics Texts,Monographs Physics Bratteli,O.:Operator Algeb.(closed)

Operator Algebras and Quantum Statistical Mechanics 1

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

Authors: Bratteli, Ola, Robinson, Derek William

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About this book

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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-662-02520-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-3-540-17093-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.99
price for USA in USD
  • ISBN 978-3-642-05736-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Operator Algebras and Quantum Statistical Mechanics 1
Book Subtitle
C*- and W*-Algebras. Symmetry Groups. Decomposition of States
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-02520-8
DOI
10.1007/978-3-662-02520-8
Hardcover ISBN
978-3-540-17093-8
Softcover ISBN
978-3-642-05736-6
Series ISSN
1864-5879
Edition Number
2
Number of Pages
XIV, 506
Topics