2010 Fiscal Year Final Research Report
Research on noncommutative dynamical systems from the viewpoint of classification theory
| Project/Area Number |
21740127
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Keio University |
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Principal Investigator |
KATSURA Takeshi Keio University, 理工学部, 講師 (50513298)
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| Project Period (FY) |
2009 – 2010
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| Keywords | 作用素環 / 関数解析学 / 力学系 |
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| Research Abstract |
I got many results on various classes of C^*-algebras related to noncommutative dynamical systems from the viewpoint of classification theory. As consequences of these results, I had succeeded in solving two long-standing problems, namely Dixmier's problem on the definition of UHF algebras and problems on semiprojectivity raised by Blackadar and others. I had also succeeded in getting the results on graph C^*-algebras and their generalizations relating classification theory directly.
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