On Amenability and Co-Amenability of Algebraic Quantum Groups and Their Corepresentations

[摘要] We introduce and study several notions of amenability for unitarycorepresentations and $*$-representations of algebraic quantum groups,which may be used to characterize amenability and co-amenability forsuch quantum groups. As a background for this study, we investigatethe associated tensor C$^{*}$-categories.

[学科分类] 数学（综合）