Amenable actions of amalgamated free products of free groups over a\n cyclic subgroup and generic property

2009/09/15 by Soyoung Moon, Moon, Soyoung
Mathematics · #Geometric and Algebraic Topology #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.0909.2824

Abstract

We show that the class of amalgamated free products of two free groups over a\ncyclic subgroup admits amenable, faithful and transitive actions on infinite\ncountable sets. This work generalizes the results on such actions for doubles\nof free group on 2 generators.\n

Related

• Amenable actions of amalgamated free products
• Amenable, transitive and faithful actions of groups acting on trees
• Permanent properties of amenable, transitive and faithful actions
• Subgroups of Cyclically Amalgamated Free Products
• Serre's Property (FA) for automorphism groups of free products