Classification of actions of duals of finite groups on the AFD factor of type II1

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    Abstract

    We will show the uniqueness of outer coactions of finite groups on the AFD factor of type II1 along the arguments by Connes, Jones and Ocneanu. Namely, we construct the infinite tensor product type action, adopt it as the model action, and prove that any outer coaction is conjugate to the model action.

    Original languageEnglish
    Pages (from-to)273-300
    Number of pages28
    JournalJournal of Operator Theory
    Volume60
    Issue number2
    Publication statusPublished - Sept 2008

    All Science Journal Classification (ASJC) codes

    • Algebra and Number Theory

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