English

Characterisations for uniform amenability

Metric Geometry 2022-12-13 v2 Group Theory

Abstract

In this paper, we provide several characterisations for uniform amenability concerning a family of finitely generated groups. More precisely, we show that the Hulanicki-Reiter condition for uniform amenability can be weakened in several directions, including cardinalities of supports and certain operator norms.

Keywords

Cite

@article{arxiv.2208.04755,
  title  = {Characterisations for uniform amenability},
  author = {Jingming Zhu and Jiawen Zhang},
  journal= {arXiv preprint arXiv:2208.04755},
  year   = {2022}
}
R2 v1 2026-06-25T01:35:50.029Z