Amenability and co-amenability of algebraic quantum groups
Operator Algebras
2007-05-23 v2
Abstract
We define concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele. We show that co-amenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient conditions for amenability or co-amenability are obtained. Co-amenability is shown to have interesting consequences for the modular theory in the case that the algebraic quantum group is of compact type.
Keywords
Cite
@article{arxiv.math/0111025,
title = {Amenability and co-amenability of algebraic quantum groups},
author = {E. Bedos and G. J. Murphy and L. Tuset},
journal= {arXiv preprint arXiv:math/0111025},
year = {2007}
}
Comments
25 pages, with some minor corrections, as to appear in the IJMMS