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

  • Mathematics(all)

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