On C∗-completions of discrete quantum group rings

Journal article (2019)

Authors

M.P.T. Caspers Analysis - EEMCS
Adam Skalski Polish Academy of Sciences
Research Group
Analysis (EEMCS) (TU Delft)
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Published Date

2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.

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