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.
Original language | English |
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Pages (from-to) | 691-704 |
Number of pages | 14 |
Journal | Bulletin of the London Mathematical Society |
Volume | 51 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- 17B37 (secondary)
- 46L05 (primary)