On Amenability and Co-Amenability of Algebraic Quantum Groups and Their Corepresentations
On Amenability and Co-Amenability of Algebraic Quantum Groups and Their Corepresentations
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论代数量子群的顺应性和协同顺应性及其核心表示
DOI：
10.4153/cjm-2005-002-8
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
L. Tuset
中科院分区：
文献类型：
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作者：
E. Bedos;R. Conti;L. Tuset
摘要引入并研究了代数量子群的酉余表示和余表示的几个顺从性概念，它们可以用来刻画此类量子群的顺从性和余顺从性。作为本研究的背景，我们研究了相关的张量${{C}^{*}}$-范畴。
Abstract We introduce and study several notions of amenability for unitary corepresentations and $*$ -representations of algebraic quantum groups, which may be used to characterize amenability and co-amenability for such quantum groups. As a background for this study, we investigate the associated tensor ${{C}^{*}}$ -categories.