Co-amenability of compact quantum groups
By E. Bedos, G. Murphy, L. Tuset. 2000
139 citations recorded by the source corpus.
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).
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5c2ec99da65f93eb8a92d3f9292d47e9639589d4
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Amenable discrete quantum groups (2003, background): “8 have been already known in the pioneering works [2], [3], [4], [5], however we give a proof in order to give another proof of nuclearity of dual compact quantum groups.”
- Approximation properties for free orthogonal and free unitary quantum groups (2011, background): “The Hopf -algebra A is unique in the sense that if BLA is any other dense Hopf -subalgebra, then B 1⁄4 A (see [8], Theorem 5.”