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Approximate innerness and central triviality of endomorphisms |
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| Authors: | Toshihiko Masuda Reiji Tomatsu |
| Institution: | a Graduate School of Mathematics, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Hakozaki 812-8581, Japan b Department of Mathematical Sciences, University of Tokyo, Komaba 153-8914, Japan c Department of Mathematics, K.U. Leuven, Celestijnenlaan 200B, B-3001, Belgium |
| Abstract: | 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. |
| Keywords: | primary 46L10 secondary 46L37 |
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