Amenability and hyperfiniteness for group actions on trees
By Pieter Spaas
Appears in collection : Group operator algebras and Non commutative geometry / Algèbres d'opérateurs de groupes et Geometrie non commutative
We identify natural conditions on group actions on trees which imply that the induced action on the boundary is (Borel/measure) hyperfinite. We will consider the differences between the Borel and measurable versions, and discuss different notions of amenability which arise in the proofs.