2010 Fiscal Year Final Research Report
A two-way study of operator algebras and discrete groups
Project/Area Number |
20684004
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Research Category |
Grant-in-Aid for Young Scientists (A)
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Allocation Type | Single-year Grants |
Research Field |
Global analysis
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Research Institution | The University of Tokyo (2008-2009, 2011) Kyoto University (2010) |
Principal Investigator |
OZAWA Narutaka 京都大学, 数理解析研究所, 准教授 (60323466)
|
Project Period (FY) |
2008 – 2010
|
Keywords | 作用素環 / 離散群 / 関数解析 |
Research Abstract |
Ozawa studied the structure of von Neumann factors arising from discrete groups and their actions on probability spaces, and contributed to the classification theory of von Neumann factors. He also studied analytic approximation properties of discrete groups and applied them to the study of von Neumann factors and to the embedding problem of graphs into metric spaces.
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