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arXiv · 1502.02469

On a quantum version of Ellis joint continuity theorem

Biswarup Das·Colin Mrozinski
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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.

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Biswarup Das, Colin Mrozinski. 2015-02-09. On a quantum version of Ellis joint continuity theorem. https://arxiv.org/abs/1502.02469

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