GeNoCAS 2023: Huanhuan Li

Описание к видео GeNoCAS 2023: Huanhuan Li

Bifurcation-splittings of graphs and Leavitt path algebras

For a given graph E and a bifurcation vertex v in E, we construct the new graph E[v] which is called a bifurcation-splitting of E. We establish an injective homomorphism between the two Leavitt path algebras over a field K (as Z-graded algebras). We also give a combinatorics sufficient and necessary condition for this homomorphism to be an isomorphism of Z-graded algebras. It turns out that these two Leavitt path algebras are Z-graded isomorphic if and only if this homomorphism is an isomorphism as Z-graded algebras.

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