Resumen de Approximate innerness and central triviality of endomorphisms

Toshihiko Masuda, Reiji Tomatsu

• We introduce the notions of approximate innerness and central triviality for endomorphisms on separable von Neumann factors, and we characterize them for hyperfinite factors by Connes�Takesaki modules of endomorphisms and modular endomorphisms which are introduced by Izumi. Our result is a generalization of the corresponding result obtained by Kawahigashi�Sutherland�Takesaki in automorphism case