HAAR MEASURES ON HOPF C-ASTERISK-ALGEBRAS

被引：1

作者：

QUAN, XC ^{[1
]}

机构：

[1] UNIV FLORIDA,INST FUNDAMENTAL THEORY,GAINESVILLE,FL 32611

来源：

ACTA APPLICANDAE MATHEMATICAE | 1993年 / 31卷 / 01期

关键词：

HAAR MEASURE; HOPF C-ASTERISK-ALGEBRA; FIXED POINTS; QUANTUM GROUP;

D O I：

10.1007/BF01002248

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first use Markov-Kakutani's fixed point theorem to prove the existence and uniqueness of Haar measures on cocommutative Hopf C*-algebras. Also we show that in the commutative case, there exists a natural one-to-one correspondence between the Haar measure on a given Hopf C*-algebra and Haar measures on the associated semigroup. Finally, we show that for Hopf C*-algebras with Peter-Weyl property, they have Haar measures.

引用

页码：75 / 85

页数：11

共 48 条

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