Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
Outline of Final Research Achievements |
We showed that graph C*-algebras have finite type KMS stated associated with sinks of the graphs. We showed that we can recover the information of the backward orbits of branched points from KMS states of the C*-algebras associated with the dynamics of rational functions on the Riemannian sphere. We classified finite traces on the cores of the C*-algebras associated with self-similar maps under a technical assumption for branched points. Moreover, we described the matrix representation of the finite cores of the C*-algebras associated with self-similar maps, and using the matrix representation, we classified ideals of the core of the C*-algebras associated with self-similar maps under the same assumption.
|