On treeings arising from HNN extensions
Group Theory
2024-01-17 v2 Dynamical Systems
Abstract
For certain HNN extensions including Baumslag-Solitar groups, a treeing is constructed from their certain probability-measure-preserving actions. This is a treeing of a quotient groupoid of the translation groupoid associated with their actions. As its application, for some of those HNN extensions, we show that the kernel of the modular homomorphism is measure equivalent to the direct product of the free group of infinite rank and Z.
Keywords
Cite
@article{arxiv.2304.04340,
title = {On treeings arising from HNN extensions},
author = {Yoshikata Kida},
journal= {arXiv preprint arXiv:2304.04340},
year = {2024}
}
Comments
31 pages, minor corrections