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Non-factor quasi-free states of the CAR-algebra

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Abstract

A necessary and sufficient condition is given in order that a quasi-free state on the Clifford algebraA(H,s) build on a real separable Hilbert (H, s) be a factor state.

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On leave of absence of Université d'Aix-Marseille, Fac. Sc. St. Charles, Marseille 3e (France).

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Manuceau, J., Verbeure, A. Non-factor quasi-free states of the CAR-algebra. Commun.Math. Phys. 18, 319–326 (1970). https://doi.org/10.1007/BF01649450

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