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On treeings arising from HNN extensions

2024/07/12 by Yoshikata Kida · 1 voice
Mathematics · #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Geometric and Algebraic Topology

paper · doi:10.1142/s1793525324500304

openalex publication_date 2024/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/22

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 [Formula: see text].

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