Co-amenability of compact quantum groups (Q5955633)
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scientific article; zbMATH DE number 1705623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Co-amenability of compact quantum groups |
scientific article; zbMATH DE number 1705623 |
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Co-amenability of compact quantum groups (English)
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11 June 2003
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co-amenability
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compact quantum groups
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The authors introduce and study the concept of co-amenability for compact quantum groups defined in the sense of \textit{S. L. Woronowicz} [Proceedings of the Les Houches summer school, Session LXIV, Les Houches, France, 1995, 845-884 (1998; Zbl 0997.46045)].NEWLINENEWLINENEWLINESeveral conditions characterizing co-amenability are presented and it is shown that co-amenability implies faithfulness of the Haar integral. This leads to a new proof of Nagy's theorem on faithfulness of the Haar measure of quantum \(SU(2)\). It is also shown that co-amenability implies automatic norm-boundedness of positive linear functionals on the quantum group's Hopf*-algebra.
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