Classification of actions of discrete Kac algebras on injective factors

Toshihiko Masuda, Reiji Tomatsu

    Research output: Contribution to journalReview articlepeer-review

    7 Citations (Scopus)

    Abstract

    We will study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. We will construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, we will show that the Connes-Takesaki module is a complete invariant.

    Original languageEnglish
    Pages (from-to)1-134
    Number of pages134
    JournalMemoirs of the American Mathematical Society
    Volume245
    Issue number1160
    DOIs
    Publication statusPublished - Jan 2017

    All Science Journal Classification (ASJC) codes

    • General Mathematics
    • Applied Mathematics

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