Application of the non commutative Rokhlin property to Elliott classification problem
| Project/Area Number |
20540220
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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 | Ritsumeikan University |
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Principal Investigator |
OSAKA Hiroyuki Ritsumeikan University, 理工学部, 教授 (00244286)
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| Co-Investigator(Renkei-kenkyūsha) |
TERUYA Tamotsu 群馬大学, 教育学部, 准教授 (30594246)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 作用素環 / C^*-環 / C^*-接合積 / ロホリン性 / 作用素環論 / C*-環論 / C*-指数理論 / Z-安定 / decomposition rank / nuclear dimension / Cuntz半群 / C*-環 |
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| Research Abstract |
The Rokhlin property of an action from an amenable group on a C^*-algebra plays an important role in C^*-crossed product algebras when considering the Elliott classification problem in simple nuclear C^*-algebras.
We extended the Rokhlin property for a conditional expectation of a pair of C^*-algebras with a finite C^*-index. We obtained, then, several results about the transmission of important properties of C^*-algebras which play important roles in Elliott classification problem.
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Report
(4 results)
Research Products
(41 results)
