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Entropy of Bogoliubov automorphisms of the canonical anticommutation relations

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Abstract

We compute the entropyh ωA (α U ) in the sense of Connes, Narnhofer and Thirring of Bogoliubov automorphismsα U of the CAR-algebra with respect to invariant quasifree statesω A with 0≦A≦1 having pure point spectrum.

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Authors and Affiliations

  1. Department of Mathematics, University of Oslo, N-0316, Oslo 3, Norway

    Erling Størmer

  2. Department of Mathematics, University of California, Berkeley, 94720, Berkeley, CA, USA

    Dan Voiculescu

Authors
  1. Erling Størmer
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  2. Dan Voiculescu
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Communicated by A. Connes

Supported in part by a grant from the National Science Foundation

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Størmer, E., Voiculescu, D. Entropy of Bogoliubov automorphisms of the canonical anticommutation relations. Commun.Math. Phys. 133, 521–542 (1990). https://doi.org/10.1007/BF02097008

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  • DOI: https://doi.org/10.1007/BF02097008

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