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On Leavitt Path Algebras of Hopf Graphs
T. G. Nam
,
N. T. Phuc
Abstract
In this paper, we provide the structure of Hopf graphs associated to pairs $(G,\mathfrak {r})$ consisting of groups $G$ together with ramification datas $\mathfrak {r}$ and their Leavitt path algebras. Consequently, we characterize the Gelfand-Kirillov dimension, the stable rank, the purely infinite simplicity and the existence of a nonzero finite dimensional representation of the Leavitt path algebra of a Hopf graph via properties of ramification data $\mathfrak {r}$ and $G$.