✦ LIBER ✦

Co-amenability of compact quantum groups

✍ Scribed by E. Bédos; G.J. Murphy; L. Tuset

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 176 KB
Volume: 40
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(01)00024-9

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✦ Synopsis

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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