2013 Fiscal Year Final Research Report
Classification of amenable group actions on C*-algebras and its applications
| Project/Area Number |
23540256
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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 | Ritsumeikan University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
SATO Yasuhiko 京都大学, 理学研究科, 助教 (70581502)
TERUYA Tamotsu 群馬大学, 教育学部, 准教授 (30594246)
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| Project Period (FY) |
2011 – 2013
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| Keywords | C*-環 / C*-指数理論 / ロホリン性 / Jiang-Su環 / トレース不等式 |
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| Research Abstract |
Let P < A be an inclusion of unital C*--algebras with a finite Watatani Index. We show that if an inclusion P < A has the Rokhlin property in the sense of Kodaka, Osaka, Teruya, then the nuclear dimension of A is greater than or equal to that of P. This is a partial answer to a question by Winter-Zacharias. Moreover, under an inclusion P < A has the tracial Rokhlin property in the sense of Osaka and Teruya, if A is the Jiang-Su stable, then so is P.
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