English

Idempotent states on locally compact quantum groups II

Operator Algebras 2016-10-13 v3 Quantum Algebra

Abstract

Correspondence between idempotent states and expected right-invariant subalgebras is extended to non-coamenable, non-unimodular locally compact quantum groups; in particular left convolution operators are shown to automatically preserve the right Haar weight.

Keywords

Cite

@article{arxiv.1605.07338,
  title  = {Idempotent states on locally compact quantum groups II},
  author = {Pekka Salmi and Adam Skalski},
  journal= {arXiv preprint arXiv:1605.07338},
  year   = {2016}
}

Comments

v3: 10 pages. Final version. Minor changes and a correction to the formula defining symmetric subalgebras. To appear in the Quarterly Journal of Mathematics

R2 v1 2026-06-22T14:08:00.640Z