Wigner-type theorem on symmetry transformations in type II factors

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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 languageEnglish
Pages (from-to)1463-1466
Number of pages4
JournalInternational Journal of Theoretical Physics
Volume39
Issue number6
DOIs
Publication statusPublished - Jun 2000

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ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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