The action of the Thompson group F on infinite trees
Operator Algebras
2023-03-21 v1
Abstract
We construct an action of the Thompson group F on a compact space built from pairs of infinite, binary rooted trees. The action arises as an F-equivariant compactification of the action of F by translations on one of its homogeneous spaces, F/H_2, corresponding to a certain subgroup H_2 of F. The representation of F on the Hilbert space l^2(F/H_2) is faithful on the complex group algebra C[F].
Keywords
Cite
@article{arxiv.2303.10363,
title = {The action of the Thompson group F on infinite trees},
author = {Jeong Hee Hong and Wojciech Szymanski},
journal= {arXiv preprint arXiv:2303.10363},
year = {2023}
}
Comments
Accepted to the Bulletin of the Belgian Mathematical Society