2010 Fiscal Year Final Research Report
| Project/Area Number |
20540199
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Hokkaido University |
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Principal Investigator |
KISHIMOTO Akitaka Hokkaido University, 大学院・理学研究院, 教授 (00128597)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 作用素環 |
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| Research Abstract |
I have investigated the flows on C^*-algebras which may appear as models in statistical mechanics and introduced notions such as quasi-diagonal flows and MF flows. Those generalize AF flows on AF algebras which are strictly approximated by flows on matrix algebras. Furthermore towards classification of crossed products by such flows I have worked on the ideal and trace structures of the crossed products. In particular, a characterization for the primitive ideals to be monotone under the dual flow is obtained.
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