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Automorphisms and quasi-free states of the CAR algebra

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Abstract

We study automorphisms of the CAR algebra which map the family of gauge-invariant, quasi-free states of the CAR algebra onto itself and show (Theorem 3.1) that they are one-particle automorphisms.

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Authors and Affiliations

  1. Instituut voor Theoretische Natuurkunde, Rijksuniversiteit, Groningen, The Netherlands

    N. M. Hugenholtz

  2. Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania, USA

    R. V. Kadison

Authors
  1. N. M. Hugenholtz
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  2. R. V. Kadison
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Communicated by H. Araki

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Hugenholtz, N.M., Kadison, R.V. Automorphisms and quasi-free states of the CAR algebra. Commun.Math. Phys. 43, 181–197 (1975). https://doi.org/10.1007/BF01609161

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  • DOI: https://doi.org/10.1007/BF01609161

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