On C∗-completions of discrete quantum group rings
Journal Article
(2019)
Author(s)
Martijn Caspers (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Adam Skalski (Polish Academy of Sciences)
Research Group
Analysis
DOI related publication
https://doi.org/10.1112/blms.12267
Final published version
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Publication Year
2019
Language
English
Research Group
Analysis
Journal title
Bulletin of the London Mathematical Society
Issue number
4
Volume number
51
Pages (from-to)
691-704
Downloads counter
85
Abstract
We discuss just infiniteness of C*-algebras associated to discrete quantum groups and relate it to the C*-uniqueness of the quantum groups in question, that is, to the uniqueness of a C*-completion of the underlying Hopf C*-algebra. It is shown that duals of q-deformations of simply connected semisimple compact Lie groups are never C*-unique. On the other hand, we present an example of a discrete quantum group which is not locally finite and yet is C*-unique.