THE AH CONJECTURE FOR CANTOR MINIMAL DIHEDRAL SYSTEMS

被引：0
|
作者：
Scarparo, Eduardo [1 ]
机构：
[1] Univ Fed Pelotas, Ctr Engn, Pelotas, RS, Brazil
来源：
MATHEMATICA SCANDINAVICA | 2023年 / 129卷 / 02期
基金：
欧洲研究理事会;
关键词：
ETALE GROUPOIDS; FULL GROUPS; PRODUCTS; HOMOLOGY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
TheAHconjecture relates the low-dimensional homology groups of a groupoid with the abelianization of its topological full group. We showthat transformation groupoids of minimal actions of the infinite dihedral group on the Cantor set satisfy this conjecture. The proof uses Kakutani-Rokhlin partitions adapted to such systems.
引用
收藏
页码：284 / 298
页数：15
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