English

Boundary amenability of groups via ultrapowers

Group Theory 2016-10-31 v1 General Topology Operator Algebras

Abstract

We use C\mathrm{C}^{\ast}-algebra ultrapowers to give a new construction of the Stone-Cech compactification of a separable, locally compact space. We use this construction to give a new proof of the fact that groups that act isometrically, properly, and transitively on trees are boundary amenable.

Keywords

Cite

@article{arxiv.1610.09276,
  title  = {Boundary amenability of groups via ultrapowers},
  author = {Stephen Avsec and Isaac Goldbring},
  journal= {arXiv preprint arXiv:1610.09276},
  year   = {2016}
}

Comments

9 pages