Classification of outer actions of discrete amenable groupoids on injective factors

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    Abstract

    We classify outer actions (or G-kernels) of discrete amenable groupoids on injective factors. Our method based on unified approach for classification of discrete amenable groups actions, and cohomology reduction theorem of discrete amenable equivalence relations. We do not use Katayama–Takesaki type resolution group approach.

    Original languageEnglish
    Pages (from-to)873-901
    Number of pages29
    JournalJournal of the Mathematical Society of Japan
    Volume74
    Issue number3
    DOIs
    Publication statusPublished - Jul 2022

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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