Operator algebras and noncommutative analysis
Project/Area Number |
19540214
|
Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Global analysis
|
Research Institution | Kyoto University |
Principal Investigator |
IZUMI Masaki Kyoto University, 大学院・理学研究科, 教授 (80232362)
|
Project Period (FY) |
2007 – 2009
|
Project Status |
Completed (Fiscal Year 2009)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
Keywords | 作用素環 / 半群 / 正準交換関係 / 正準反交換関係 / Hardy空間 / Toeplitz作用素 / 生成作用素 / 群作用 / テンソル圏 / K-理論 |
Research Abstract |
Operators on a Hilbert space, a generalization of the Euclid space, play fundamental roles in analysis and quantum physics. The set of bounded operators B(H) on a Hilbert space H is closed under linear operations, product, and conjugation, and it is a typical example of an operator algebra. In this research, I performed structure analysis of operator algebras. In particular, I studied the structure of a 1-parameter semigroup of endomorphisms of B(H), and obtained new classification invariants and construction of new examples.
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Report
(4 results)
Research Products
(22 results)