Non-nesting actions of Polish groups on real trees

Abstract

We prove that if a Polish G with a comeagre conjugacy class has a non-nesting action on an R-tree, then every element of G fixes a point.

7 pages, to appear in J. Pure and Appl. Algebra

Cited by in corpus (2)

• Completely Metrisable Groups Acting on Trees
• Non-nesting actions of groups on real trees vs isometric actions