任意图上自相似图的$C^*$ -代数
$C^*$-algebras of self-similar graphs over arbitrary graphs
摘要:
本文将自相似图的$C^*$ -代数的构造推广到任意可数图的情形。我们减少问题的行有限的情况下,没有源,通过使用一个去奇异化过程。最后,我们在这种情况下简单的特点。
英文摘要:
In this note we extend the construction of a $C^*$-algebra associated to a self-similar graph to the case of arbitrary countable graphs. We reduce the problem to the row-finite case with no sources, by using a desingularization process. Finally, we characterize simplicity in this case.
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