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作者 Arveson, William
書名 Noncommutative dynamics and E-semigroups [electronic resource] / William Arveson
出版項 New York : Springer, ©2003
國際標準書號 9780387215242 (electronic bk.)
0387215247 (electronic bk.)
book jacket
說明 1 online resource (x, 434 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Springer monographs in mathematics
Springer monographs in mathematics
附註 Includes bibliographical references (p. 427-430) and index
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)
鏈接 Print version: Arveson, William. Noncommutative dynamics and E-semigroups. New York : Springer, ©2003 9780387001517 (DLC) 2002042734 (OCoLC)51086692
主題 Noncommutative algebras
Endomorphisms (Group theory)
Algèbres non commutatives
Endomorphismes (Théorie des groupes)
Endomorphisms (Group theory) fast (OCoLC)fst00909788
Noncommutative algebras. fast (OCoLC)fst01038607
Semigroups. fast (OCoLC)fst01112267
Halbgruppe. swd
Nichtkommutative Algebra. swd
Endomorphismus. swd
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