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On Leavitt Path Algebras of Hopf Graphs

T. G. Nam , $icon-email$ N. T. Phuc

Abstract

In this paper, we provide the structure of Hopf graphs associated to pairs $(G, r)$ consisting of groups $G$ together with ramification datas $r$ 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 $r$ and $G$ .

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On Leavitt Path Algebras of Hopf Graphs

Abstract