Co-Amenability of compact quantum groups

Details Co-Amenability of compact quantum groups Co-Amenability of compact quantum groups

2000-10-26

arxiv.org/abs/math/0010248v1

Mathematics

Operator Algebras

25 pages. LaTex

Scientific paper

10.1016/S0393-0440(01)00024-9

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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