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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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,630,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥630,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | 単射的因子環 / 自己同型群 / 群作用 / 分類 / コンパクト群 / 作用素環 / 離散従順群 / 単射的III型因子環 / コンパクトカッツ環 / 極小作用 / 2次コサイクル / コンバクトカッツ環 / 自己準同型 |
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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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Report
(6 results)
Research Products
(25 results)
