Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Gorazd, Roman
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979224529
Cites:
Cited by:
Related to: