Simple stably projectionless C*-algebras
| Project/Area Number |
16K17614
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Osaka Kyoiku University |
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Principal Investigator |
Nawata Norio 大阪教育大学, 教育学部, 講師 (90614040)
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| Project Period (FY) |
2016-04-01 – 2020-03-31
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| Project Status |
Completed (Fiscal Year 2019)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 作用素環 / C*-環 / stably projectionless / 中心列C*-環 / Rohlin性 / 群作用 / Stably projectionless / Stably projetionless / トレイススケーリング / 自己同型 / ペアリング / Pairing / Trace scaling |
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| Outline of Final Research Achievements |
In this research, I studied simple stably projectionless C*-algebras, which are noncommutative and infinite-dimensional mathematical objects. In particular, I studied symmetires of W and classified some integer actions and finite group actions on W up to conjugacy and outer conjugacy. Also, I showed that central sequence C*-algebra of W has some interesting properties.
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| Academic Significance and Societal Importance of the Research Achievements |
C*-環は作用素環論の研究対象であり, 非可換かつ無限次元な数学的対象である. 非可換性や無限次元といった性質を数学的に解明することが作用素環論の主題である. 作用素環論では中心的な課題の一つとして, 作用素環への群作用の分類が研究されている. 本研究で得られた成果は, 単純 stably projectionless という単位元も射影も持たないクラスに属するC*-環への群作用の分類で最初に得られた肯定的な結果である.
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Report
(5 results)
Research Products
(12 results)
