Journal of Operator Theory

Volume 78, Issue 1,  Summer  2017  pp. 173-178.

The uniqueness of the preduals of quantum group algebras

Authors:  Hung Le Pham
Author institution: School of Mathematics and Statistics, Victoria University of Wellington, Wellington 6140, New Zealand

Summary:  If $G$ is a compact group, then $\mathcal{C}(G)$ is the unique predual with respect to which the measure algebra $\mathit{M}(G)$ is a dual Banach algebra. In fact, we shall prove a stronger result that even holds for any compact quantum group in the sense of Woronowicz.

DOI: http://dx.doi.org/10.7900/jot.2016jun16.2125
Keywords:  measure algebra, compact quantum group, dual Banach algebra, unique predual