Crossed products of algebras of unbounded operators and structure of GW*-algebras
| Project/Area Number |
24540224
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Fukuoka University |
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Principal Investigator |
INOUE ATSUSHI 福岡大学, 理学部, 非常勤講師 (50078557)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 非有界＊-表現 / O*-代数 / 非可換微分構造 / 非有界＊-代数 / 非可換微分幾何 / 非有界*-代数 / C*-代数 |
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| Outline of Final Research Achievements |
Inoue, M. Fragoulopoulou and K.D. Kuersten have defined and studied a GW*-crossed product of a GW*-algebra which is a natural generalization of a von Neumann algebra. Using the results, they have shown that a type III GW*-algebra is isomorphic to a GW*-crossed product of type II GW*-algebra under natural assumptions.
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Report
(5 results)
Research Products
(7 results)
