Abstract
It is shown that a few physically significant conditions fix the global structure of the local algebras appearing in quantum field theory: it is isomorphic to that of ℜ
where ℜ is the unique hyperfinite factor of typeIII 1 and
the center of the respective algebra. The argument is based on results in [1, 2] relating to the type of the local algebras and an improvement of an argument in [3] concerning the “split property.”
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Communicated by K. Osterwalder
Heisenberg fellow
Research supported by Ministro della Pubblica Istruzione and CNR-GNAFA
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Buchholz, D., D'Antoni, C. & Fredenhagen, K. The universal structure of local algebras. Commun.Math. Phys. 111, 123–135 (1987). https://doi.org/10.1007/BF01239019
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DOI: https://doi.org/10.1007/BF01239019