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Implementation of automorphisms and derivations of the CAR-algebra

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Abstract

The implementability of automorphisms and derivations of the CAR-algebra in a pure quasifree state is discussed in detail. Especially the properties of the implementing operators are investigated, and an explicit construction is given. Extending a result from [2] for the CCR-algebra, we get a new necessary condition for a derivation to be implementable by a selfadjoint operator.

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Authors and Affiliations

  1. II Institut für Theoretische Physik, Universität Hamburg, D-2000, Hamburg 50, Federal Republic of Germany

    Klaus Fredenhagen

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  1. Klaus Fredenhagen
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Communicated by A. Jaffe

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Fredenhagen, K. Implementation of automorphisms and derivations of the CAR-algebra. Commun.Math. Phys. 52, 255–266 (1977). https://doi.org/10.1007/BF01609486

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  • DOI: https://doi.org/10.1007/BF01609486

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