AI 中文总结
该研究将带对角连接映射的归纳AH-系统对应到典范AF-群胚的作用，通过补充Bratteli图的拓扑信息描述单位空间，为对角AH代数提供了群胚模型。
AI 中文摘要
我们证明，带有对角连接映射的归纳AH-系统描述了典范AF-群胚在典范C*-对角谱上的作用，且该典范群胚模型由与该作用关联的变换群胚给出。这将群胚结构分为两个不同部分：已被充分研究的作用AF-群胚，以及其作用的单位空间。我们通过在Bratteli图中补充额外拓扑信息来描述单位空间，并将这些描述应用于包括第一类Villadsen代数在内的相关实例。
英文摘要
We show that an inductive AH-system with diagonal connecting maps describes an action of the canonical AF-groupoid on the spectrum of the canonical C$^*$-diagonal, and that the canonical groupoid model is given by the transformation groupoid associated to this action. This divides the groupoid structure into two distinct aspects: the acting AF-groupoid (which is well-studied) and the unit space on which it acts. We describe the unit space by enriching the Bratteli diagram with extra topological information, and apply these descriptions to examples of interest, including Villadsen algebras of the first kind.
Comments18 pages
