Amenability and coamenability of algebraic quantum groups

Erik Bédos, Gerard J. Murphy and Lars Tuset

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-25

Abstract:

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:386965

DOI: 10.1155/S016117120210603X

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