On ultraproducts of operator algebras
文献类型：期刊论文
| 作者 | Li, WH |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2005-09-01 |
| 卷号 | 48期号:9页码:1284-1295 |
| 关键词 | von Neumann algebras C*-algebras ultraproducts K-group double commutants |
| ISSN号 | 1006-9283 |
| DOI | 10.1360/022004-107 |
| 英文摘要 | Some basic questions on ultraproducts of C*-algebras and von Neumann algebras, including the relation to K-theory of C*-algebras are considered. More specifically, we prove that under certain conditions, the K-groups of ultraproduct of C*-algebras are isomorphic to the ultraproduct of respective K-groups of C*-algebras. We also show that the ultraproducts of factors of type II1 are prime, i.e. not isomorphic to any non-trivial tensor product. |
| 语种 | 英语 |
| WOS记录号 | WOS:000233073200011 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2192]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, WH |
| 作者单位 | Chinese Acad Sci, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, WH. On ultraproducts of operator algebras[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48(9):1284-1295. |
| APA | Li, WH.(2005).On ultraproducts of operator algebras.SCIENCE IN CHINA SERIES A-MATHEMATICS,48(9),1284-1295. |
| MLA | Li, WH."On ultraproducts of operator algebras".SCIENCE IN CHINA SERIES A-MATHEMATICS 48.9(2005):1284-1295. |
入库方式： OAI收割
来源：数学与系统科学研究院
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