English

Irreducible lattices, invariant means, and commensurating actions

Group Theory 2020-05-05 v3

Abstract

We study rigidity properties of lattices in terms of invariant means and commensurating actions (or actions on CAT(0) cube complexes). We notably study Property FM for groups, namely that any action on a discrete set with an invariant mean has a finite orbit.

Keywords

Cite

@article{arxiv.1308.1318,
  title  = {Irreducible lattices, invariant means, and commensurating actions},
  author = {Yves Cornulier},
  journal= {arXiv preprint arXiv:1308.1318},
  year   = {2020}
}

Comments

31 pages, 0 figure