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.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)