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The covariance algebra of an extended covariant system

Published online by Cambridge University Press:  24 October 2008

Ronny Rousseau
Ronny Rousseau
Affiliation:
Katholieke Universiteit Leuven, Belgium
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Extract

Let M be a von Neumann algebra acting on a Hilbert space , and let G be a locally compact group. We consider an extension of G by , the unitary group of M. If the triple satisfies an additional axiom, we say that it is an extended covariant system. We define a Hilbert space and operators , acting on . The von Neumann algebra is then the covariance algebra of the extended covariant system , denoted by .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 85 , Issue 2 , March 1979 , pp. 271 - 280
Copyright
Copyright © Cambridge Philosophical Society 1979

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