Study of operator algebras and dynamical systems from various perspectives
| Project/Area Number |
26400108
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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 | Chiba University |
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Principal Investigator |
Matui Hiroki 千葉大学, 大学院理学研究院, 教授 (40345012)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 作用素環 / 極小力学系 / 群作用 |
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| Outline of Final Research Achievements |
I studied operator algebras and dynamical systems from various perspectives. In particular, I focused on classification of group actions on simple nuclear C*-algebras and analysis of minimal dynamical systems on Cantor sets. For instance, I obtained a complete classification of outer actions of poly-Z-groups on Kirchberg algebras up to cocycle conjugacy. Secondly, I classified etale groupoids arising from finite products of shifts of finite type, and computed the homology groups of the etale groupoids and the abelianizations of the associated topological full groups.
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Report
(5 results)
Research Products
(14 results)
