Abstract
The investigation of purifications of factor states has been carried on. It is shown, that any factor state θ of aC*-algebra admits at most one purification\(\tilde \omega\), so one can introduce the purification map\(\phi :\phi (\omega ) = \tilde \omega\). It turns out, that the Powers and Størmer inequality is valid in this general situation.
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Woronowicz, S.L. On the purification map. Commun.Math. Phys. 30, 55–67 (1973). https://doi.org/10.1007/BF01646688
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DOI: https://doi.org/10.1007/BF01646688