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A Markov dilation of a non-quasifree Bloch evolution

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Abstract

We construct a new minimal dilation of a dynamical system governed by a Bloch equation. In contrast to a dilation of the same dynamical system recently obtained by Varilly [13] our dilation satisfies a Markov property. This presents the first example of a Markov dilation for a non-commutative dynamical system which is not equivalent to a quasifree evolution. Furthermore the dilation turns out to be a generalizedK-system.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-7400, Tübingen, Federal Republic of Germany

    B. Kümmerer & W. Schröder

Authors
  1. B. Kümmerer
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  2. W. Schröder
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Additional information

Communicated by H. Araki

Research supported in part by Studienstiftung des deutschen Volkes

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Kümmerer, B., Schröder, W. A Markov dilation of a non-quasifree Bloch evolution. Commun.Math. Phys. 90, 251–262 (1983). https://doi.org/10.1007/BF01205506

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  • DOI: https://doi.org/10.1007/BF01205506

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