English

Outer actions of measured quantum groupoids

Operator Algebras 2010-11-11 v2

Abstract

Mimicking a recent article of Stefaan Vaes, in which was proved that every locally compact quantum group can act outerly, we prove that we get the same result for measured quantum groupoids, with an appropriate definition of outer actions of measured quantum groupoids. This result is used to show that every measured quantum groupoid can be found from some depth 2 inclusion of von Neumann algebras.

Keywords

Cite

@article{arxiv.0909.1206,
  title  = {Outer actions of measured quantum groupoids},
  author = {Michel Enock},
  journal= {arXiv preprint arXiv:0909.1206},
  year   = {2010}
}

Comments

to be published in Journal of Functional Analysis

R2 v1 2026-06-21T13:43:22.536Z