On positive definiteness over locally compact quantum groups
Operator Algebras
2019-08-15 v3 Functional Analysis
Abstract
The notion of positive-definite functions over locally compact quantum groups was recently introduced and studied by Daws and Salmi. Based on this work, we generalize various well-known results about positive-definite functions over groups to the quantum framework. Among these are theorems on "square roots" of positive-definite functions, comparison of various topologies, positive-definite measures and characterizations of amenability, and the separation property with respect to compact quantum subgroups.
Cite
@article{arxiv.1410.1665,
title = {On positive definiteness over locally compact quantum groups},
author = {Volker Runde and Ami Viselter},
journal= {arXiv preprint arXiv:1410.1665},
year = {2019}
}
Comments
28 pages; v3: incorporated several changes, most at the referee's suggestion; to appear in the Canadian Journal of Mathematics