Abstract
We classify outer actions (or $\mathscr{G}$-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.
Funding Statement
The author is supported by JSPS KAKENHI Grant Number 16K05180.
Citation
Toshihiko MASUDA. "Classification of outer actions of discrete amenable groupoids on injective factors." J. Math. Soc. Japan 74 (3) 873 - 901, July, 2022. https://doi.org/10.2969/jmsj/86328632
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