On the implementability of automorphism groups |
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Authors: | H. J. Borchers |
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Affiliation: | (1) Institut für Theoretische Physik der Universität Göttingen, Germany |
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Abstract: | LetA be aC*-algebra andG be a locally compact group acting as strongly continuous automorphisms onA. Let be a representation ofA then we say is a covariant representation if there exists a strongly continuous unitary representation of the group acting onH which implements the automorphisms. We give necessary and sufficient conditions on a representation ofA such that a) is subrepresentation of a covariant representation and b) is subrepresentation of a covariant representation quasi-equivalent to . |
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