Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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Outline of Final Research Achievements |
| mainly study group actions on operator algebras. As a results, I first obtained a unified proof of classification theorem of discrete amenable group actions on injective factors. Next, I classified one-parameter automorphism groups with Rohlin property with Reiji Tomatsu. As one application, we present a proof of uniqueness of the injective factor of type III_1 from point of view of structure theorem of factors. I also study classification of compact group actions on injective factors with Reiji Tomatsu. In particular, we obtained classification theorem of actions of groups with nice topological property, e.g., compact Lie groups.
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