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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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