Structure of Injective Real Factors of Type III textIIIl ,0 < l < 1{text{III}}_lambda ,0 < lambda < 1

We consider ^*-automorphisms and ^*-antiautomorphisms of real and complex factors. We establish both the uniqueness of the class of ^*-automorphisms (with ) of a real injective factor and the uniqueness of the class of ^*-antiautomorphisms (with ) of a complex injective factor. It is well known that, for complex factors, the notions of hyperfiniteness and injectivity are equivalent. Here we prove that, for real factors, the two notions are no longer equivalent. Bibliography: 15 titles.