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Co-Amenability of compact quantum groups

Erik Bedos·Gerard J. Murphy·Lars Tuset
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Abstract

We study the concept of co-amenability for a compact quantum group. Several conditions are derived that are shown to be equivalent to it. Some consequences of co-amenability that we obtain are faithfulness of the Haar integral and automatic norm-boundedness of positive linear functionals on the quantum group's Hopf *-algebra (neither of these properties necessarily holds without co-amenability).

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Erik Bedos, Gerard J. Murphy, Lars Tuset. 2000-10-26. Co-Amenability of compact quantum groups. https://doi.org/10.1016/s0393-0440(01)00024-9

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