2010 Fiscal Year Final Research Report
Research of automorphism groups and group actions in the Theory of operator algebras
| Project/Area Number |
19740088
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Kyushu University |
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Principal Investigator |
MASUDA Toshihiko Kyushu University, 数理学研究院, 准教授 (60314978)
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| Project Period (FY) |
2007 – 2010
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| Keywords | 単射的因子環 / 自己同型群 / 群作用 / 分類 |
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| Research Abstract |
I studied automorphism groups and group actions on injective factors. In particular, I studued classificatgion theory of amenable group actions on injective factors. With R.Tomatsu, I classified actions of discrete amenable Kac algebras, and minimal actions of compact groups on injective factors through the duality theorem. I also found a unified proof of classification of discrete amenable group actions on injective factors by Evans-Kishimoto's intertwining argument. By generalizing this argument, I also gave the classification of discrete amenable group actions on subfactors, and outer actions of discrete amenable groups on injective factors.
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Research Products
(11 results)
