Approximate innerness and central triviality of endomorphisms

Toshihiko Masuda, Reiji Tomatsu

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)1075-1134
    Number of pages60
    JournalAdvances in Mathematics
    Issue number4
    Publication statusPublished - Mar 1 2009

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)


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