FINITE DIMENSIONALITY OF IRREDUCIBLE UNITARY REPRESENTATIONS OF COMPACT QUANTUM GROUPS

被引：0

作者：

QUAN, XC

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 121卷 / 03期

关键词：

HILBERT-SCHMIDT OPERATOR; HOPF C-ASTERISK-ALGEBRA; HAAR MEASURE;

D O I：

10.2307/2160285

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the representations of Hopf C*-algebras; the main result is that every irreducible left unitary representation of a Hopf C*-algebra with a Haar measure is finite dimensional. To prove this result, we first study the comodule structure of the space of Hilbert-Schmidt operators; then we use this comodule structure to show that every irreducible left unitary representation of a Hopf C*-algebra with a Haar measure is finite dimensional.

引用

页码：851 / 858

页数：8

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