Study of group actions on operator algebras
| Project/Area Number |
22740099
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Chiba University |
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Principal Investigator |
MATUI HIROKI 千葉大学, 理学(系)研究科(研究院), 教授 (40345012)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 作用素環 / 群作用 / 極小力学系 / K理論 / 軌道同型 |
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| Research Abstract |
I studied group actions on operator algebras and related topics. In particular, I focused on simple nuclear C*-algebras, which can be thought of as non-commutative topological spaces. First, various group actions on simple nuclear C*-algebras were classified up to cocycle conjugacy. For instance, uniqueness of actions of finitely generated free abelian groups on UHF algebras of infinite type was obtained. Secondly, it was proved that a large class of simple nuclear C*-algebras are classified by their K-groups. Also, I showed that topological full groups associated with minimal dynamical systems have various interesting properties.
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Report
(5 results)
Research Products
(34 results)
