### 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.

Original language | English |
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Pages (from-to) | 295-302 |

Number of pages | 8 |

Journal | Letters in Mathematical Physics |

Volume | 79 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 1 2007 |

### Keywords

- Effect algebra
- Mixture
- Mixture isomorphisms
- Preservers

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Molnár, L., & Timmermann, W. (2007). Mixture preserving maps on von Neumann algebra effects.

*Letters in Mathematical Physics*,*79*(3), 295-302. https://doi.org/10.1007/s11005-007-0141-7