Freeness and matrix decompositions
文献类型：期刊论文
| 作者 | Ge Liming1,2 ; Shen Junhao1
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2011-11-01 |
| 卷号 | 54期号:11页码:2309-2327 |
| 关键词 | von Neumann algebra factor semicircular element joint distribution |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-011-4323-5 |
| 英文摘要 | If a semicircular element and the diagonal subalgebra of a matrix algebra are free in a finite von Neumann algebra (with respect to a normal trace), then, up to the conjugation by a diagonal unitary element, all entries of the semicircular element are uniquely determined in the sense of (joint) distribution. Suppose a selfadjoint element is free with the diagonal subalgebra. Then, in the matrix decomposition of the selfadjoint element, any two entries cannot be free with each other unless the selfadjoint element is semicircular. We also define a "matricial distance" between two elements and show that such distance for two free semicircular elements in a finite von Neumann algebra is nonzero and independent of the properties of the von Neumann algebra. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000296637700004 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12610]  |
| 专题 | 数学所 |
| 通讯作者 | Shen Junhao |
| 作者单位 | 1.Univ New Hampshire, Dept Math, Durham, NH 03824 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ge Liming,Shen Junhao. Freeness and matrix decompositions[J]. SCIENCE CHINA-MATHEMATICS,2011,54(11):2309-2327. |
| APA | Ge Liming,&Shen Junhao.(2011).Freeness and matrix decompositions.SCIENCE CHINA-MATHEMATICS,54(11),2309-2327. |
| MLA | Ge Liming,et al."Freeness and matrix decompositions".SCIENCE CHINA-MATHEMATICS 54.11(2011):2309-2327. |
入库方式： OAI收割
来源：数学与系统科学研究院
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