ON THE RELATION BETWEEN TYPES OF LOCAL ALGEBRAS IN DIFFERENT GLOBAL REPRESENTATIONS

Let {A, A(O), R(d), alpha} be a theory of local observables. We show that there are relations between the Connes-von Neumann types of the algebras belonging to a different global representation. For example if one representation is the vacuum representation such that the wedge algebra is of type III1 then this also is the case for other representations, provided these are connected with the vacuum by large translations.