Real Structure in W*-Algebras

Abstract

The structure theory of real W*-algebras is relatively new, though in many aspects it is similar to the classical case of complex W*-algebras (von Neumann algebras). In this chapter we present some result concen-ing a deep (non elementary) structure theory of real W*-algebras; namely the structure of type III real W*-factors, classification of *-automorphisms and *-antiautomorphisms of real W*-factors in comparison with the com-plex case, relations between the properties as injectivity, hyperfiniteness, etc.