On Leavitt Path Algebras of Hopf Graphs

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 .