Overview
- Two new surveys with new results by two top-researchers
- Includes supplementary material: sn.pub/extras
Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 126)
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Table of contents (2 chapters)
Keywords
About this book
Reviews
From the reviews:
"... These notes [by E.Stormer] describe the main approaches to noncommutative entropy, together with several ramifications and variants. The notion of generator and variational principle are used to give applications to subfactors and C*-algebra formalism of quantum statistical mechanics. The author considers the most frequently studied examples, including Bernoulli shifts, Bogolyubov automorphisms, dual automorphisms on crossed products, shifts on infinite free products, and binary shifts on the CAR-algebra. The mathematical techniques and ideas are beautifully exposed, and the whole paper is a rich resource on the subject, either for the expert or the beginner. ..."
V.Deaconu, Mathematical Reviews 2004
"... the author gives a clear presentation of the dramatic developments in the classification theory for simple C*-algebras that have taken place over the past 25 years or so. ... As there is such a large amount of literature on the subject, this monograph article is particularly useful to the relative novice who wants to know the fundamental results in the theory without wading through a massive amount of detail. ...This monograph-length article is extremely well-written, filled with concrete examples, and has an exhaustive bibliography. I recommend it as an excellent introduction to graduate students and other mathematicians who want to bring themselves up-to-date on the subject. .."
J.A.Packer, Mathematical Reviews 2004
“Both contributions to this volume are high-end, excellently written research reviews, reflecting very thoroughly the current status in the respectively treated subbranches of the quickly evolving complex field of C* algebra theory. They both give a beautiful lay-out of the vast research program in the field which has been going on for decades … as well as to the standard works. … an excellent, very thorough, concise and needed overview for theresearcher who is active in this field.” (Mark Sioen, Bulletin of the Belgian Mathematical Society, 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
Authors: Mikael Rørdam, Erling Størmer
Series Title: Encyclopaedia of Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-662-04825-2
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Hardcover ISBN: 978-3-540-42305-8Published: 20 November 2001
Softcover ISBN: 978-3-642-07605-3Published: 01 December 2010
eBook ISBN: 978-3-662-04825-2Published: 18 April 2013
Series ISSN: 0938-0396
Edition Number: 1
Number of Pages: IX, 198
Topics: Functional Analysis, Algebra, Theory of Computation, Analysis, Geometry, Theoretical, Mathematical and Computational Physics