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Operator ideals and the statistical independence in quantum field theory

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Abstract

We consider analytic properties of a class of dynamical systems which are defined by the action of certain homomorphism groups on von Neumann algebras if restricted to subalgebras. In particular, the analyticity of nuclear maps in the nuclear norm is shown. Furthermore, the statistical independence will be derived from nuclearity conditions. These results give new insight in the statistical independence of commuting algebras.

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Authors and Affiliations

  1. Institut für theoretische Physik der Universität Göttingen, Bunsenstr 7-9, D-37073, Göttingen, Germany

    R. Schumann

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  1. R. Schumann
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This paper is a result of a collaboration with H. J. Borchers.

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Schumann, R. Operator ideals and the statistical independence in quantum field theory. Letters in Mathematical Physics 37, 249–271 (1996). https://doi.org/10.1007/BF00343190

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  • DOI: https://doi.org/10.1007/BF00343190

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