| C^＊-Structure of Quantum Double for Finite Hopf C^＊-Algebra |
| |
| 引用本文： | 蒋立宁,王利广.C^＊-Structure of Quantum Double for Finite Hopf C^＊-Algebra[J].北京理工大学学报(英文版),2005,14(3):328-331. |
| |
| 作者姓名： | 蒋立宁 王利广 |
| |
| 作者单位： | [1]School of Science, Beijing Institute of Technology, Beijing 100081, China [2]Department of Mathematics, Qufu Normal University, Qufu 273165, China |
| |
| 基金项目： | 国家自然科学基金，Basic Research Foundation of Beijing Institute of Technology |
| |
| 摘 要： | Let H be a finite Hopf C^＊ -algebra and H′be its dual Hopf algebra. Drinfeld＇s quantum double D（H） of H is a Hopf^＊-algebra. There is a faithful positive linear functional θ on D（H）. Through the associated Gelfand-Naimark-Segal （GNS） representation, D（H） has a faithful^＊ -representation so that it becomes a Hopf C^＊ -algebra. The canonical embedding map of H into D（H） is isometric.
|
| 关 键 词： | Hopf代数 C^＊代数 GNS表示法 线性函数 |
| 文章编号： | 1004-0579（2005）03-0328-04 |
| 收稿时间： | 2004-02-17 |
C*-Structure of Quantum Double for Finite Hopf C*-Algebra |
| |
| JIANG Li-ning and WANG Li-guang.C*-Structure of Quantum Double for Finite Hopf C*-Algebra[J].Journal of Beijing Institute of Technology,2005,14(3):328-331. |
| |
| Authors: | JIANG Li-ning and WANG Li-guang |
| |
| Affiliation: | 1. School of Science, Beijing Institute of Technology, Beijing 100081, China
2. Department of Mathematics, Qufu Normal University, Qufu 273165, China |
| |
| Abstract: | Let H be a finite Hopf C*-algebra and H' be its dual Hopf algebra. Drinfeld's quantum double D(H) of H is a Hopf *-algebra. There is a faithful positive linear functional θ on D(H). Through the associated Gelfand-Naimark-Segal (GNS) representation, D(H) has a faithful *-representation so that it becomes a Hopf C*-algebra. The canonical embedding map of H into D(H) is isometric. |
| |
| Keywords: | Hopf algebra C*-algebra quantum double GNS representation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《北京理工大学学报(英文版)》浏览原始摘要信息 |
|
点击此处可从《北京理工大学学报(英文版)》下载全文 |
