论文标题
群体图对应图的群体模型
Groupoid models for diagrams of groupoid correspondences
论文作者
论文摘要
类固醇对应关系的图是对Étalegrassoid对应关系的生物学的同态。我们研究了此类图的示例，包括组的复合物和自相似的高级图。我们在单个群体中编码该图，我们称之为其群体模型。定义了群体模型，以便其在空间上的作用与适当定义的图表的作用之间存在自然的生物。我们在几种情况下描述了类模型，包括一组群或自相似群体。我们表明，群体模型是群体对应关系的生物学中的双线性模型。
A diagram of groupoid correspondences is a homomorphism to the bicategory of étale groupoid correspondences. We study examples of such diagrams, including complexes of groups and self-similar higher-rank graphs. We encode the diagram in a single groupoid, which we call its groupoid model. The groupoid model is defined so that there is a natural bijection between its actions on a space and suitably defined actions of the diagram. We describe the groupoid model in several cases, including a complex of groups or a self-similar group. We show that the groupoid model is a bilimit in the bicategory of groupoid correspondences.
