论文标题
Cantor最小二面体系统的AH猜想
The AH conjecture for Cantor minimal dihedral systems
论文作者
论文摘要
AH的猜想将群体类固醇的低维同源组与其拓扑完整群的Abelianization相关。我们表明，无限二面基在cantor套件上的最小作用的转化组素质满足了这一猜想。该证明使用适合此类系统的Kakutani-Rokhlin分区。
The AH conjecture relates the low-dimensional homology groups of a groupoid with the abelianization of its topological full group. We show that 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.
