| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Outline of Final Research Achievements |
The results of this research projects are as follows. I defined dimension group of a self-similar map through the C*-algebra associated with the original self-similar map, and showed that this is a generalization of the case without branched points. As an example, I showed that the K_0 group of the core of the C*-algebra associated with the tent map is the ring of integer, and the canonical endomorphism is isomorphic to the shift of multiplicity 1, using the paring of discrete model traces and elements of K_0 group of the core.
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