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Noncommutative Dynamics And E-semigroups Hardback - 2003
by William Arveson
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Details
- Title Noncommutative Dynamics And E-semigroups
- Author William Arveson
- Binding Hardback
- Edition 1st
- Condition New
- Pages 434
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2003-05-12
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- Bookseller's Inventory # BIBNNA-158774
- ISBN 9780387001517 / 0387001514
- Weight 1.64 lbs (0.74 kg)
- Dimensions 9.52 x 6.38 x 1.03 in (24.18 x 16.21 x 2.62 cm)
- Category Mathematics
- Library of Congress subjects Semigroups, Noncommutative algebras
- Library of Congress Catalogue Number 2002042734
- Dewey Decimal Code 512.24
- Quantity available 1
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From the publisher
First line
In this chapter we give an overview of some applications of the theory of semigroups of endomorphisms of type I factors to certain concrete issues of noncommutative dynamics that are associated with the time evolution of quantum systems.
From the rear cover
The term Noncommutative Dynamics can be interpreted in several ways. It is used in this book to refer to a set of phenomena associated with the dynamics of quantum systems of the simplest kind that involve rigorous mathematical structures associated with infinitely many degrees of freedom. The dynamics of such a system is represented by a one-parameter group of automorphisms of a noncommutative algebra of observables, and the author focuses primarily on the most concrete case in which that algebra consists of all bounded operators on a Hilbert space.
This subject overlaps with several mathematical areas of current interest, including quantum field theory, the dynamics of open quantum systems, noncommutative geometry, and both classical and noncommutative probability theory. This is the first book to give a systematic presentation of progress during the past fifteen years on the classification of E-semigroups up to cocycle conjugacy. There are many new results that cannot be found in the existing literature, as well as significant reformulations and simplifications of the theory as it exists today.
William Arveson is Professor of Mathematics at the University of California, Berkeley. He has published two previous books with Springer-Verlag, An Invitation to C*-algebras (1976) and A Short Course on Spectral Theory (2001).
