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Superderivations and symmetric Markov semigroups

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Abstract

Unbounded superderivations are used to construct non-commutative elliptic operators on semi-finite von Neumann algebras. The method exploits the interplay between dynamical semigroups and Dirichlet forms. The elliptic operators may be viewed as generators of irreversible dynamics for fermion systems with infinite degrees of freedom.

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Authors and Affiliations

  1. Department of Mathematics, King's College, WC2R 2LS, London, England

    E. Brian Davies

  2. Department of Mathematics, University Park, NG7 2RD, Nottingham, England

    J. Martin Lindsay

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  1. E. Brian Davies
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  2. J. Martin Lindsay
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Communicated by H. Araki

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Davies, E.B., Lindsay, J.M. Superderivations and symmetric Markov semigroups. Commun.Math. Phys. 157, 359–370 (1993). https://doi.org/10.1007/BF02099765

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  • DOI: https://doi.org/10.1007/BF02099765

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