| 矩阵代数收敛至球面与非交换度量几何 |
| |
| 引用本文： | 龙波涛,吴畏.矩阵代数收敛至球面与非交换度量几何[J].数学学报,2017,60(1):133-148. |
| |
| 作者姓名： | 龙波涛 吴畏 |
| |
| 作者单位： | 华东师范大学数学系 上海 200241 |
| |
| 基金项目： | 国家自然科学基金资助项目（11171109）；上海市科学技术委员会资助课题（13dz2260400） |
| |
| 摘 要： | 介绍了Rieffel定义的紧致量子度量空间与量子Gromov-Hausdorff距离和近来Latrémolière定义的量子Gromov-Hausdorff邻距,分别讨论了矩阵代数如何在这两种量子距离下收敛至球面.
|
| 关 键 词： | 紧致量子度量空间 量子Gromov-Hausdorff距离 量子Gromov-Hausdorff邻距 矩阵代数 球面 |
Matrix Algebras Converge to the Sphere and Noncommutative Metric Geometry |
| |
| Bo Tao LONG,Wei WU.Matrix Algebras Converge to the Sphere and Noncommutative Metric Geometry[J].Acta Mathematica Sinica,2017,60(1):133-148. |
| |
| Authors: | Bo Tao LONG Wei WU |
| |
| Institution: | Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China |
| |
| Abstract: | We introduce compact quantum metric spaces and quantum Gromov-Hausdorff distance defined by Rieffel and quantum Gromov-Hausdorff propinquity recently defined by Latrémolière, and discuss the question of how matrix algebras converge to the sphere in both quantum distances, respectively. |
| |
| Keywords: | compact quantum metric space quantum Gromov-Hausdorff distance quantum Gromov-Hausdorff propinquity matrix algebra sphere |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
