| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
Classification of group actions is one of the most important subjects in the theory of operator algebras. In the collaboration with M. Izumi (Kyoto University), I completely classified outer actions on poly-Z groups on Kirchberg algebras. Such a broad classification result has not been known so far.
From minimal dynamical systems on the Cantor set, one can construct etale groupoids and groupoid C*-algebras. Recently, homology groups and topological full groups of these groupoids have attracted much attention. I proved that a long exact sequence of homology groups arises from a certain pair of etale groupoids.
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