On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice
文献类型：期刊论文
| 作者 | Dong AiJu1; Wang Dong2,3 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2015-11-01 |
| 卷号 | 58期号:11页码:2373-2386 |
| 关键词 | Kadison-Singer algebra Kadison-Singer lattice reflexive algebra double triangle lattice factor of type II1 |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-015-5031-3 |
| 英文摘要 | We show that the reflexive algebra Alg(L) given by a double triangle lattice in a finite factor M (with L '' = M) is maximal non-selfadjoint in the class of all weak operator closed subalgebras with the same diagonal subalgebra Alg(L) boolean AND Alg(L)*. Our method can be used to prove similar results in finite-dimensional matrix algebras. As a consequence, we give a new proof to the main theorem by Hou and Zhang (2012). |
| 资助项目 | National Natural Science Foundation of China[11371290] ; Morningside Center of Mathematics |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000364732700009 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21170]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang Dong |
| 作者单位 | 1.Xian Univ Arts & Sci, Sch Math & Comp Engn, Xian 710065, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ New Hampshire, Dept Math & Stat, Durham, NH 03824 USA |
| 推荐引用方式 GB/T 7714 | Dong AiJu,Wang Dong. On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice[J]. SCIENCE CHINA-MATHEMATICS,2015,58(11):2373-2386. |
| APA | Dong AiJu,&Wang Dong.(2015).On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice.SCIENCE CHINA-MATHEMATICS,58(11),2373-2386. |
| MLA | Dong AiJu,et al."On maximal non-selfadjoint reflexive algebras associated with a double triangle lattice".SCIENCE CHINA-MATHEMATICS 58.11(2015):2373-2386. |
入库方式： OAI收割
来源：数学与系统科学研究院
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