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Quantum Dynamical Semigroups in Strongly Finite von Neumann Algebras

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Abstract

We consider the notion of strong finiteness of a von Neumann algebra with respect to a semigroup of linear normal positive unital mappings on this algebra. The equivalence of strong finiteness and finiteness is proved for atomic algebras. Also “approach to equilibrium” and various mixing properties for quantum dynamical systems are studied.

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  1. Faculty of Mathematics, Lódź University, UL.Stefana Banacha 22, 90-238, Lódź, Poland

    A. Luczak

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  1. A. Luczak
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Luczak, A. Quantum Dynamical Semigroups in Strongly Finite von Neumann Algebras. Acta Mathematica Hungarica 92, 11–18 (2001). https://doi.org/10.1023/A:1013791624973

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