论文标题
Baumslag-solitar图形通过颜色
Baumslag-Solitar graphs through colours
论文作者
论文摘要
顾名思义，高级图是有向图的较高维度类似物，我们将使用类别理论来定义这些图。我项目的整个想法是构建我们所谓的Baumslag-Solitar图形图，这是一个高级图。它们太抽象了，无法描绘出来，但是在通过彩色图形构建Baumslag-Solitar图表时，我们可以这样做。我建立了关于在Hazlewood，Raeburn，Sims和Webster上构建Baumslag-Solitar图表的工作，以及Webster关于高级图形及其$ C^*$ - 代数的一些基本结果的讲话。这是一种理解有向图的概括的新方法。
Higher-rank graphs are, as the name suggests, higher-dimensional analogues of directed graphs which we will define using category theory. The whole idea of my project was to construct what we call a Baumslag-Solitar graph, a higher-rank graph. They're too abstract an idea to picture, but in building Baumslag-Solitar graphs through coloured graphs, we are able to do so. I modelled my work on constructing Baumslag-Solitar graphs off Hazlewood, Raeburn, Sims, and Webster's Remarks on some fundamental results about higher-rank graphs and their $C^*$-algebras. This was a novel approach in understanding the generalisation of directed graphs.
