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On the implementability of automorphism groups

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Abstract

LetA be aC*-algebra andG be a locally compact group acting as strongly continuous automorphisms onA. Let π be a representation ofA then we say π is a covariant representation if there exists a strongly continuous unitary representation of the group acting onH π which implements the automorphisms. We give necessary and sufficient conditions on a representation π ofA such that a) π is subrepresentation of a covariant representation and b) π is subrepresentation of a covariant representation quasi-equivalent to π.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Göttingen, Germany

    H. J. Borchers

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  1. H. J. Borchers
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Borchers, H.J. On the implementability of automorphism groups. Commun.Math. Phys. 14, 305–314 (1969). https://doi.org/10.1007/BF01645386

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  • DOI: https://doi.org/10.1007/BF01645386

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