On a spectral property of one-dimensional representations of compact quantum groups

Abstract

In the $C^{\ast }$-algebraic setting the spectrum of any group-like element of a compact quantum group is shown to be a closed subgroup of the one-dimensional torus. A number of consequences of this fact are then illustrated, along with a loose connection with the so-called Kadison-Kaplansky conjecture.

arXiv commentComments welcome