2016 Fiscal Year Final Research Report
Study on permenent properties for inclusion of C*-algebras
| Project/Area Number |
26400125
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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 |
Basic analysis
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| Research Institution | Ritsumeikan University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
TERUYA TAMOTSU 群馬大学, 教育学部, 教授 (30594246)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | Rokhlin property / Cuntz-Pimsner algebras / Hilbert C*-modules / Nuclear dimension / Self-absorbing / Cuntz semigroups |
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| Outline of Final Research Achievements |
Throgh the joint work with Prof. Teruya we formulated the Rokhlin property for inclusion of nonunital C*-algebras with a index finite related to the Pimsner-Popa inequlity, using the sequentially *-homomorphism by Balak-Szabo, and we showed the stability for permanence properties for inclusion of C*-algebras. Also, we defined the Rokhlin property for actions of finite groups on Hilbert C*-modules, and studied its basic properties.
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| Free Research Field |
作用素環論
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