Abstract
In this paper we determine the structure of all bijective maps between the effect algebras of different von Neumann algebras which preserve mixtures in both directions. In particular, we obtain that every such preserver is a mixture isomorphism.
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Molnár, L., Timmermann, W. Mixture Preserving Maps on Von Neumann Algebra Effects. Lett Math Phys 79, 295–302 (2007). https://doi.org/10.1007/s11005-007-0141-7
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DOI: https://doi.org/10.1007/s11005-007-0141-7