Research of operator algebraic quantum groups
Project/Area Number |
21740112
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Global analysis
|
Research Institution | Hokkaido University (2011) Tokyo University of Science (2009-2010) |
Principal Investigator |
TOMATSU Reiji 北海道大学, 大学院・理学院研究院, 准教授 (70447366)
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | von Neumann環 / 量子群 / 作用 / Rohlin性 / flow / Kac環 / 自己同型 / 連結単純lie群 |
Research Abstract |
I jointly work with A. Skalski and F. Uwe on a compact quantum group whose Haar state admits a non-trivial square root. Also, with Toshihiko Masuda(Kyushu university), I studied the action of the additive real group on a von Neumann algebra. We especially obtain a classification of Rohlin flows up to strong cocycle conjugacy.
|
Report
(4 results)
Research Products
(17 results)