Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Classification of outer actions of discrete amenable groupoids on injective factors
Toshihiko Masuda
著者情報
キーワード: injective factors, groupoids, actions
ジャーナル 認証あり

2022 年 74 巻 3 号 p. 873-901

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抄録

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.

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