Flows on C*-algebras

Research Project

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)