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On factor representations and theC*-algebra of canonical commutation relations

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Abstract

A newC*-algebra,A, for canonical commutation relations, both in the case of finite and infinite number of degrees of freedom, is defined. It has the property that to each, not necessarily continuous, representation of CCR there corresponds a representation ofA. The definition ofA is based on the existence and uniqueness of the factor type II1 representation. Some continuity properties of separable factor representations are proved.

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Authors and Affiliations

  1. Institut f. Theoretische Physik, Universität Göttingen, Göttingen, Germany

    Joseph Slawny

  2. Dept. of Physics and Astronomy, Tel-Aviv University, Ramat-Aviv, Tel-Aviv, Israel

    Joseph Slawny

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  1. Joseph Slawny
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Slawny, J. On factor representations and theC*-algebra of canonical commutation relations. Commun.Math. Phys. 24, 151–170 (1972). https://doi.org/10.1007/BF01878451

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  • DOI: https://doi.org/10.1007/BF01878451

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