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Pure states as a dual object forC*-algebras

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Abstract

We consider the set of pure states of aC*-algebra as a uniform space equipped with transition probabilities and orientation, and show that the pure states with this structure determine theC*-algebra up to *-isomorphism.

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Authors and Affiliations

  1. Wellesley College, 02181, Wellesley, MA, USA

    Frederic W. Shultz

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  1. Frederic W. Shultz
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Additional information

Communicated by H. Araki.

Partially supported by NSF grant MCS78-02455

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Shultz, F.W. Pure states as a dual object forC*-algebras. Commun.Math. Phys. 82, 497–509 (1982). https://doi.org/10.1007/BF01961237

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  • DOI: https://doi.org/10.1007/BF01961237

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