On C*-completions of discrete quantum group rings
Operator Algebras
2019-07-03 v2 Quantum Algebra
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, i.e. to the uniqueness of a C*-completion of the underlying Hopf *-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.
Keywords
Cite
@article{arxiv.1812.06343,
title = {On C*-completions of discrete quantum group rings},
author = {Martijn Caspers and Adam Skalski},
journal= {arXiv preprint arXiv:1812.06343},
year = {2019}
}
Comments
13 pages, v2 corrects small points and adds more explanations. This version will appear in the Bulletin of the London Mathematical Society