### Abstract

Wigner's theorem on symmetry transformations can be formulated in the following way. If φ is a bijective map on the set of all nonzero minimal projections in a type I factor script capital A sign which preserves transition probabilities with respect to a faithful normal semifinite trace, then it can be extended to a linear *-automorphism or to a linear *-antiautomorphism of script capital A sign. In this paper we prove a natural analogue of this statement for type II factors.

Original language | English |
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Pages (from-to) | 1463-1466 |

Number of pages | 4 |

Journal | International Journal of Theoretical Physics |

Volume | 39 |

Issue number | 6 |

Publication status | Published - Jun 2000 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*International Journal of Theoretical Physics*,

*39*(6), 1463-1466.

**Wigner-type theorem on symmetry transformations in type II factors.** / Molnár, L.

Research output: Contribution to journal › Article

*International Journal of Theoretical Physics*, vol. 39, no. 6, pp. 1463-1466.

}

TY - JOUR

T1 - Wigner-type theorem on symmetry transformations in type II factors

AU - Molnár, L.

PY - 2000/6

Y1 - 2000/6

N2 - Wigner's theorem on symmetry transformations can be formulated in the following way. If φ is a bijective map on the set of all nonzero minimal projections in a type I factor script capital A sign which preserves transition probabilities with respect to a faithful normal semifinite trace, then it can be extended to a linear *-automorphism or to a linear *-antiautomorphism of script capital A sign. In this paper we prove a natural analogue of this statement for type II factors.

AB - Wigner's theorem on symmetry transformations can be formulated in the following way. If φ is a bijective map on the set of all nonzero minimal projections in a type I factor script capital A sign which preserves transition probabilities with respect to a faithful normal semifinite trace, then it can be extended to a linear *-automorphism or to a linear *-antiautomorphism of script capital A sign. In this paper we prove a natural analogue of this statement for type II factors.

UR - http://www.scopus.com/inward/record.url?scp=0034350041&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034350041&partnerID=8YFLogxK

M3 - Article

VL - 39

SP - 1463

EP - 1466

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

SN - 0020-7748

IS - 6

ER -