论文标题
关于莱维特路径代数的常规理想的注释
A note on the regular ideals of Leavitt path algebras
论文作者
论文摘要
我们表明，对于任意图，也对相关的Leavitt路径代数的常规理想进行了分级。结果，对于排行图的图，我们获得了常规理想的相关Leavitt路径的商，这再次是Leavitt路径代数，并且该条件〜（l）由常规理想保留。此外，我们描述了常规理想的顶点集，并在Leavitt路径代数中的常规理想和图C*-Algebras中进行比较。
We show that, for an arbitrary graph, a regular ideal of the associated Leavitt path algebra is also graded. As a consequence, for a row-finite graph, we obtain that the quotient of the associated Leavitt path by a regular ideal is again a Leavitt path algebra and that Condition~(L) is preserved by quotients by regular ideals. Furthermore, we describe the vertex set of a regular ideal and make a comparison between the theory of regular ideals in Leavitt path algebras and in graph C*-algebras.
