English

The weak containment problem for \'etale groupoids which are strongly amenable at infinity

Operator Algebras 2022-02-01 v3 Dynamical Systems

Abstract

We show that an \'etale groupoid which is strongly amenable at infinity is amenable whenever its full and reduced CC^*-algebras coincide.

Keywords

Cite

@article{arxiv.2011.13852,
  title  = {The weak containment problem for \'etale groupoids which are strongly amenable at infinity},
  author = {Julian Kranz},
  journal= {arXiv preprint arXiv:2011.13852},
  year   = {2022}
}

Comments

10 pages, added some clarifying comments and Lemma 5.3. To appear in J. Oper. Theory

R2 v1 2026-06-23T20:33:27.806Z