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VOL. 36 | 1999 Dynamical systems and operator algebras

Abstract

We study the algebraic consequences of the traditional descriptions of dynamics based on differential equations. We thus show how $C*$-dynamical systems consisting of an action of a locally compact group on a $C*$-algebra provide a common framework for studying the time evolution and symmetry groups of systems in classical and quantum physics.

Information

Published: 1 January 1999
First available in Project Euclid: 18 November 2014

zbMATH: 1194.46098

Rights: Copyright © 1999, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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