2015 Fiscal Year Final Research Report
Crossed products of algebras of unbounded operators and structure of GW*-algebras
Project/Area Number |
24540224
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Global analysis
|
Research Institution | Fukuoka University |
Principal Investigator |
INOUE ATSUSHI 福岡大学, 理学部, 非常勤講師 (50078557)
|
Project Period (FY) |
2012-04-01 – 2016-03-31
|
Keywords | 非有界*-表現 / O*-代数 / 非可換微分構造 |
Outline of Final Research Achievements |
Inoue, M. Fragoulopoulou and K.D. Kuersten have defined and studied a GW*-crossed product of a GW*-algebra which is a natural generalization of a von Neumann algebra. Using the results, they have shown that a type III GW*-algebra is isomorphic to a GW*-crossed product of type II GW*-algebra under natural assumptions.
|
Free Research Field |
数物系科学
|