On idempotent states on quantum groups

被引：33

作者：

Franz, Uwe ^{[2
]}

Skalski, Adam ^{[1
,3
]}

机构：

[1] Univ Lancaster, Dept Math & Stat, Lancaster, England

[2] Univ Franche Comte, Dept Math Besancon, F-25030 Besancon, France

[3] Univ Lodz, Dept Math, PL-90238 Lodz, Poland

来源：

JOURNAL OF ALGEBRA | 2009年 / 322卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

Quantum group; Idempotent state; Quantum hypergroup; HAAR MEASURE; ALGEBRAS;

D O I：

10.1016/j.jalgebra.2009.05.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Idempotent states on a compact quantum group are shown to yield group-like projections in the multiplier algebra of the dual discrete quantum group. This allows to deduce that every idempotent state on a finite quantum group arises in a canonical way as the Haar state on a finite quantum hypergroup. A natural order structure on the set of idempotent states is also studied and some examples discussed. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1774 / 1802

页数：29

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