English

Amenability and Inner Amenability of Transformation Groups

Functional Analysis 2026-04-10 v2

Abstract

In this paper, we show that there is a net for amenable transformation groups like F{\o}lner net for amenable groups and investigate amenability of a transformation group constructed by semidirect product of groups. We introduce inner amenability of transformation groups and characterize this property.

Keywords

Cite

@article{arxiv.2005.08077,
  title  = {Amenability and Inner Amenability of Transformation Groups},
  author = {Ali Ebadian and Ali Jabbari},
  journal= {arXiv preprint arXiv:2005.08077},
  year   = {2026}
}

Comments

It has some mistakes

R2 v1 2026-06-23T15:35:48.207Z