On a quantum version of Ellis joint continuity theorem
Operator Algebras
2016-10-04 v5 Functional Analysis
Quantum Algebra
Abstract
We give a necessary and sufficient condition on a compact semitopological quantum semigroup which turns it into a compact quantum group. In particular, we obtain a generalisation of Ellis's joint continuity theorem. We also investigate the question of the existence of the Haar state on a compact semitopological quantum semigroup and prove a "noncommutative" version of the converse Haar's theorem.
Cite
@article{arxiv.1502.02469,
title = {On a quantum version of Ellis joint continuity theorem},
author = {Biswarup Das and Colin Mrozinski},
journal= {arXiv preprint arXiv:1502.02469},
year = {2016}
}
Comments
15 pages manuscript, to appear in Illinois Journal of Mathematics