TITLE: Separability of compact quantum groups
QUESTION [9 upvotes]: In the theory of compact quantum groups due Woronowicz, we assume usually that the C*-algebra of the compact quantum group is separable. Is the assumption essential in the theory? Will it eventually make sense to develop the theory of nonseparable compact quantum groups? What has gone wrong?

REPLY [7 votes]: A Haar measure on a compact quantum group without requiring separability was constructed in The Haar measure on a compact quantum group (1995).