论文标题
相对toeplitz图代数的相对图和缩写
Relative graphs and pullbacks of relative Toeplitz graph algebras
论文作者
论文摘要
在本说明中，我们概括了最近关于Hajac，Reznikoff和Tobolski（2020）的论文的结果。在该论文中，他们给出了条件，他们在定向图的类别的俯卧撑图上称为可接受性，这意味着图形的$ C^*$ - 代数形成了回调图。我们考虑了与相对Toeplitz图代数相对应的较大类别的相对图。在这种情况下，我们提供了在求职的必要条件，以获得$ C^*$ - 代数的回调。
In this note we generalize a result from a recent paper of Hajac, Reznikoff and Tobolski (2020). In that paper they give conditions they call admissibility on a pushout diagram in the category of directed graphs implying that the $C^*$-algebras of the graphs form a pullback diagram. We consider a larger category of relative graphs that correspond to relative Toeplitz graph algebras. In this setting we give necessary and sufficient conditions on the pushout to get a pullback of $C^*$-algebras.
