On the purification of factor states |
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Authors: | S. L. Woronowicz |
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Affiliation: | (1) Department of Mathematical Methods of Physics, University of Warsaw, Warsaw, Poland |
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Abstract: | Let be aC*-algebra and be an opposite algebra. Notions of exact andj-positive states of are introduced. It is shown, that any factor state of can be extended to a pure exactj-positive state of . The correspondence generalizes the notion of the purifications map introduced by Powers and Størmer. The factor states 1 and 2 are quasi-equivalent if and only if their purifications and are equivalent. |
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