Co-Amenability of compact quantum groups
Operator Algebras
2009-10-31 v1
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).
Keywords
Cite
@article{arxiv.math/0010248,
title = {Co-Amenability of compact quantum groups},
author = {Erik Bedos and Gerard J. Murphy and Lars Tuset},
journal= {arXiv preprint arXiv:math/0010248},
year = {2009}
}
Comments
25 pages. LaTex