2002 Fiscal Year Final Research Report Summary
The geometric structure of operator algebras
| Project/Area Number |
12640203
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Chiba University |
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Principal Investigator |
MASARU Nagisa Chiba Univ, Faculty of Science, Professor, 理学部, 教授 (50189172)
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| Co-Investigator(Kenkyū-buntansha) |
ITOH Takashi Gunma Univ, Faculty of Education, Associate Professor, 教育学部, 助教授 (40193495)
KODAKA Kazunori Ryuky Univ, College of Science, Professor, 理学部, 教授 (30221964)
MATUI Hiroki Chiba Univ, Groduate School of Science and technology, Assistont, 大学院・科学研究科, 助手 (40345012)
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| Project Period (FY) |
2000 – 2002
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| Keywords | operator algebra / c^*-algebra / real rank / stable rank / K-group / irrational ratotion algebra / Haagerup tensor product / Operator space |
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| Research Abstract |
Our interst of this research is the study of non-commutatibity of topological spaces. We mainly treat operator algebras and regards them as objects of non-commutative topological spaces. C^*-algebras constructed by an inductive system or a C^*-dynamical system arestudied by many researchers and we can also get some results about them (works of H. Matui and K. Kodaka). These topics are related to K-tneory of C^*-algebras and the dimension theory of C^*-algebras. The work of Nagisa-O-P and Nagisa-K are related to them. To consider more complicated objects, Nagisa and Itoh gather result of operator spaces and study the relation of Schur multipliers and the Haagerup tensor product as its applications. Concerning this object, we can get interesting result.
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Research Products
(16 results)
