AMENABILITY AND COAMENABILITY OF ALGEBRAIC QUANTUM GROUPS
AMENABILITY AND COAMENABILITY OF ALGEBRAIC QUANTUM GROUPS
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代数量子群的适用性和可适用性
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
L. Tuset
中科院分区：
文献类型：
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作者：
E. Bedos;G. Murphy;L. Tuset
我们在货车Daele（1998）的意义下定义了代数量子群的顺从性和可顺从性的概念。证明了代数量子群的可协性总是蕴涵着其对偶群的可协性。得到了顺从性或可顺从性的各种必要和/或充分条件。在代数量子群是紧致型的情况下，可协性对模理论有着有趣的影响。
We define concepts of amenability and coamenability for algebraic quantum groups in the sense of Van Daele (1998). We show that coamenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient conditions for amenability or coamenability are obtained. Coamenability is shown to have interesting consequences for the modular theory in the case that the algebraic quantum group is of compact type.