Outer Conjugacy Classes of Automorphisms and Antiautomorphisms of Real and Complex Injective Factors

In this paper we consider the *-automorphisms and the *-antiautomorphism of real and of complex factors. We prove the uniqueness of class of *-automorphisms (with mod(·)=λ,λ≠1)) of injective realII∞factor and the uniqueness of the class of *-antiautomorphisms (withmod(·)=λ,λ≠1)) of injective complexII∞factor.