Study of quantum group actions on von Neumann algebras
| Project/Area Number |
24740095
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Hokkaido University |
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Principal Investigator |
TOMATSU Reiji 北海道大学, 理学(系)研究科(研究院), 准教授 (70447366)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 作用素環 / von Neumann環 / C*環 / 量子群 / Haagerup property / von Neumann algebra / flow / Rohlin性 / 無限テンソル積作用 / 量子旗多様体 / 誘導作用 |
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| Outline of Final Research Achievements |
My main research results are ``Analysis of infinite tensor product type actions",``Formulation of Haagerup approximation property for arbitrary von Neumann algebras" and ``Study of Haagerup approximation property of von Neumann algebra by bimodule approach". I showed that any infinite tensor product type action of a q-deformed quantum group is actually induced from its maximal torus. I formulated Haagerup approximation property by using theory of completely positive operators on standard Hilbert spaces of von Neumann algebras. By bimodule approach, I succeeded in strengthening some results obtained before.
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Report
(4 results)
Research Products
(6 results)
