Thompson groups, characters, property R∞
The preprint "Thompson-like groups, characters, and Reidemeister numbers" by Paula Macedo Lins de Araujo, Altair Santos de Oliveira-Tosti and Yuri Santos Rego has been recently uploaded to the arXiv!
Link to the paper: arXiv:2105.07096
Abstract:
We investigate Reidemeister numbers of automorphisms of Thompson-like groups. More precisely, we use the Σ-invariant of Bieri--Neumann--Strebel to prove that the Lodha--Moore groups and the braided version of Thompson's group F have property R∞.