English

Amenable actions, free products and a fixed point property

Group Theory 2010-01-18 v1 Dynamical Systems

Abstract

We investigate the class of groups admitting an action on a set with an invariant mean. It turns out that many free products admit such an action. We give a complete characterisation of such free products in terms of a strong fixed point property.

Keywords

Cite

@article{arxiv.math/0505197,
  title  = {Amenable actions, free products and a fixed point property},
  author = {Yair Glasner and Nicolas Monod},
  journal= {arXiv preprint arXiv:math/0505197},
  year   = {2010}
}

Comments

12 pages

R2 v1 2026-07-22T17:19:12.308Z