The covariance algebra of an extended covariant system
Published online by Cambridge University Press: 24 October 2008
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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