Communications in Mathematical Physics

, Volume 30, Issue 1, pp 55–67 | Cite as

On the purification map

  • S. L. Woronowicz


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.


Neural Network Purification Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • S. L. Woronowicz
    • 1
  1. 1.Department of Mathematical Methods of PhysicsUniversity of WarsawPoland

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