Amenability and coamenability of algebraic quantum groups

Amenability and coamenability of algebraic quantum groups

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 obta...

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Veröffentlicht in:International journal of mathematics and mathematical sciences 2002-01, Vol.31 (10), p.577-601
Hauptverfasser: Bedos, Erik, Murphy, Gerard J, Tuset, Lars
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container_title International journal of mathematics and mathematical sciences
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creator Bedos, Erik
Murphy, Gerard J
Tuset, Lars
description 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.
doi_str_mv 10.1155/S016117120210603
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title Amenability and coamenability of algebraic quantum groups
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