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On the type of local algebras in quantum field theory

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Abstract

We give a simple sufficient condition for a von Neumann algebra to be Type III and apply it to some classes of algebras in QFT. For dilatation invariant local systems in particular we find that all sufficiently regular local algebras are Type III.

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Author notes

  1. W. Driessler

    Present address: Department of Mathematics, Bedford College, Regent's Park, NW1 4NS, London, England

Authors and Affiliations

  1. Department of Physics, University of Bielefeld, D-4800, Bielefeld, Federal Republic of Germany

    W. Driessler

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  1. W. Driessler
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Communicated by R. Haag

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Driessler, W. On the type of local algebras in quantum field theory. Commun.Math. Phys. 53, 295–297 (1977). https://doi.org/10.1007/BF01609853

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  • DOI: https://doi.org/10.1007/BF01609853

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