Embedding Higman-Thompson groups of unfolding trees into the Leavitt path algebras
Rings and Algebras
2025-09-16 v3 Group Theory
Abstract
The isomorphism problem of regular Higman-Thompson groups was solved in arXiv:1006.1759, via embedding it into the Leavitt algebra. In this paper, we will expand these results to embed the Higman-Thompson groups of unfolding trees of directed graphs into the Leavitt path algebra. This embedding allows us to show that any isomorphism of rooted Leavitt path algebras induces an isomorphism between Higman-Thompson groups.
Cite
@article{arxiv.2504.01363,
title = {Embedding Higman-Thompson groups of unfolding trees into the Leavitt path algebras},
author = {Roman Gorazd},
journal= {arXiv preprint arXiv:2504.01363},
year = {2025}
}