On treeings arising from HNN extensions

被引：0

作者：

Kida, Yoshikata ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Komaba, Tokyo 1538914, Japan

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2024年

关键词：

Treeings; orbit equivalence; measured groupoids; HNN extensions; BAUMSLAG-SOLITAR GROUPS; EQUIVALENCE-RELATIONS; ORBIT EQUIVALENCE; COST;

D O I：

10.1142/S1793525324500304

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：36

共 18 条

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