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GeneralizedK-flows

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Abstract

The classical concept ofK-flow is generalized to cover situations encountered in non-equilibrium quantum statistical mechanics. The ergodic properties of generalizedK-flows are discussed. Several non-isomorphic examples are constructed, which differ already in the type (II1, IIIλ, and III1) of the factor on which they are defined. In particular, generalized factorK-flows with dynamical entropy either zero (singularK-flows) or infinite (special non-abelianK-flows) are constructed.

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Authors and Affiliations

  1. ZiF der Universität Bielefeld, D-4800, Bielefeld, Germany

    Gérard G. Emch

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  1. Gérard G. Emch
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Communicated by H. Araki

On leave of absence from the Depts. of Mathematics and Physics, The University of Rochester, Rochester, N. Y. 14627, USA

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Emch, G.G. GeneralizedK-flows. Commun.Math. Phys. 49, 191–215 (1976). https://doi.org/10.1007/BF01608727

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  • DOI: https://doi.org/10.1007/BF01608727

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