2016 Fiscal Year Final Research Report
Classification theory of C*-algebras over finite spaces
Project/Area Number |
24740109
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Global analysis
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Research Institution | Keio University |
Principal Investigator |
KATSURA Takeshi 慶應義塾大学, 理工学部(矢上), 准教授 (50513298)
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Project Period (FY) |
2012-04-01 – 2017-03-31
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Keywords | 数学 / 関数解析 / 作用素環 / 分類 |
Outline of Final Research Achievements |
In this research, we got not only various results on C*-algebras over finite spaces as expected, but also wide results on classification theory of C*-algebras. The results on C*-algebras over finite spaces include the one on K-theoretical invariants of Cuntz-Krieger algebras with the application to the conjecture of characterization of graph algebras, the complete solution to realization problem of K-theoretical invariants of non-simple graph algebras, and the result of determining which AF-algebras arise as non-simple graph algebras. The results on classification theory of C*-algebras include the ones on non-separable C*-algebras and on C*-algebras associated with discrete groups.
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Free Research Field |
作用素環
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