On maximal abelian self-adjoint subalgebras of factors of type II1
文献类型:期刊论文
| 作者 | Wang, LG |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
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| 出版日期 | 2005-06-01 |
| 卷号 | 21期号:3页码:569-576 |
| 关键词 | maximal abelian self-adjoint subalgebra index von Neumann algebra factor conditional expectation |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-004-0460-x |
| 英文摘要 | In this note, we show that if N is a proper subfactor of a factor M of type II1 with finite Jones index, then there is a. maximal abelian self-adjoint subalgebra, (masa) A of N, that is not a masa in M. Popa showed that there is a proper subfactor R-0 of the hyperfinite type II1 factor M such that each masa in R-0 is also a masa in R. We shall give a detailed proof of Popa's result. |
| 语种 | 英语 |
| WOS记录号 | WOS:000229747700014 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1518] ![]() |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, LG |
| 作者单位 | 1.Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, LG. On maximal abelian self-adjoint subalgebras of factors of type II1[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(3):569-576. |
| APA | Wang, LG.(2005).On maximal abelian self-adjoint subalgebras of factors of type II1.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(3),569-576. |
| MLA | Wang, LG."On maximal abelian self-adjoint subalgebras of factors of type II1".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.3(2005):569-576. |
入库方式: OAI收割
来源:数学与系统科学研究院
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