| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
I researched group or quantum group actions on C*- or von Neumann algebras. For free product factors, Y. Ueda and I affirmatively solved a conjecture about Connes' tau invariant. Type III1 factor has the so called core factor of type II, and this is actually isomorphic to the discrete core of the associated type III-lambda factor. Then we reduced the problem on real group actions to that of one-dimensional torus group actions. Next, I considered the structure of ultraproduct von Neumann algebras of crossed product von Neumann algebras by continuous group actions, and I obtained a description of it by thinking of its equicontinuous part. This allows us to determine the type of an ultraproduct von Neumann algebra in a different way known so far.
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