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
收藏
页码：75 / 85
页数：11
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