Аннотации:
© 2017 Springer Science+Business Media New YorkQuantum symmetries of spectral lattices are studied. Basic properties of spectral order on AW∗-algebras are summarized. Connection between projection and spectral automorphisms is clarified by showing that, under mild conditions, any spectral automorphism is a composition of function calculus and Jordan ∗-automorphism. Complete description of quantum spectral symmetries on Type I and Type II AW∗-factors are completely described.