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

Operator Algebras 2016-06-03 v1 Quantum Algebra

Abstract

In the CC^*-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.

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Cite

@article{arxiv.1606.00826,
  title  = {On a spectral property of one-dimensional representations of compact quantum groups},
  author = {Stefano Rossi},
  journal= {arXiv preprint arXiv:1606.00826},
  year   = {2016}
}

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