Isometric coactions of compact quantum groups on compact quantum metric spaces

被引：11
|
作者：
Quaegebeur, Johan [1 ]
Sabbe, Marie [1 ]
机构：
[1] Katholieke Univ Leuven, Dept Math, B-3001 Louvain, Belgium
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2012年 / 122卷 / 03期
关键词：
Quantum metric space; isometric coaction; quantum isometry group; ERGODIC ACTIONS;
D O I：
10.1007/s12044-012-0082-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose a notion of isometric coaction of a compact quantum group on a compact quantum metric space in the framework of Rieffel, where the metric structure is given by a Lipnorm. Within this setting we study the problem of the existence of a quantum isometry group.
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页码：351 / 373
页数：23
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