TY - JOUR
T1 - Classification of outer actions of discrete amenable groupoids on injective factors
AU - Masuda, Toshihiko
N1 - Funding Information:
2020 Mathematics Subject Classification. Primary 46L40. Key Words and Phrases. injective factors, groupoids, actions. The author is supported by JSPS KAKENHI Grant Number 16K05180.
Publisher Copyright:
© 2022 Mathematical Society of Japan. All rights reserved.
PY - 2022/7
Y1 - 2022/7
N2 - 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.
AB - 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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U2 - 10.2969/jmsj/86328632
DO - 10.2969/jmsj/86328632
M3 - Article
AN - SCOPUS:85136204744
VL - 74
SP - 873
EP - 901
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
SN - 0025-5645
IS - 3
ER -