Project/Area Number |
20540199
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Global analysis
|
Research Institution | Hokkaido University |
Principal Investigator |
KISHIMOTO Akitaka Hokkaido University, 大学院・理学研究院, 教授 (00128597)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 作用素環 / 解析学 / 関数解析 / Cスター環 / MF環 / 準対角性 / 統計力学 / 平衡状態 / トレース / イデアル / 流れ / 準対角 / 接合積 / KMS状態 |
Research Abstract |
I have investigated the flows on C^*-algebras which may appear as models in statistical mechanics and introduced notions such as quasi-diagonal flows and MF flows. Those generalize AF flows on AF algebras which are strictly approximated by flows on matrix algebras. Furthermore towards classification of crossed products by such flows I have worked on the ideal and trace structures of the crossed products. In particular, a characterization for the primitive ideals to be monotone under the dual flow is obtained.
|
Report
(4 results)
Research Products
(6 results)