Actions of discrete groups on operator algebras and their invariants
| Project/Area Number |
21740119
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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 | Osaka Kyoiku University |
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Principal Investigator |
OKAYASU Rui 大阪教育大学, 教育学部, 准教授 (70362746)
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 作用素環 / エントロピー / 離散群 / 自己同型写像 / 自由群 / 郡環 / 従順性 / 群作用 / C*-環 / von Neumann環 |
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| Research Abstract |
I study some entropy on operator algebras.(1) By using the method of Voiculescu, I define new entropy for an autromorphism on a TAF algebra, which is defined by Lin, and study their properties and examples.(2) I study the relative entropy for a pair of an operator algebra and a subalgebra, which is defined by Pimsner and Popa. I also study the relative entropy for a pair of two subalgebras, which is defined by M. Choda.
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Report
(5 results)
Research Products
(21 results)
