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Extremal decomposition of Wightman functions and of states on nuclear *-algebras by Choquet theory

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Abstract

We give a short proof for the decomposability of states on nuclear *-algebras into extremal states by using the integral decompositions of Choquet and the nuclear spectral theorem, recovering a recent result by Borchers and Yngvason. The decomposition of Wightman fields into irreducible fields is a special case of this. We also indicate a quick solution of the moment problem on nuclear spaces.

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  1. Institut für Theoretische Physik, Universität Göttingen, D-3400, Göttingen, Federal Republic of Germany

    Gerhard C. Hegerfeldt

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  1. Gerhard C. Hegerfeldt
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Communicated by H. Araki

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Hegerfeldt, G.C. Extremal decomposition of Wightman functions and of states on nuclear *-algebras by Choquet theory. Commun.Math. Phys. 45, 133–135 (1975). https://doi.org/10.1007/BF01629243

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  • DOI: https://doi.org/10.1007/BF01629243

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