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Using the Steinberg Algebra Model to determine the center of any Leavitt Path Algebra Clark, Lisa Orloff Martín-Barquero, Dolores Martín-González, Cándido Siles-Molina, Mercedes Grafos, Teoría de Anillos (Álgebra) Given an arbitrary graph, we describe the center of its Leavitt path algebra over a commutative unital ring. Our proof uses the Steinberg algebra model of the Leavitt path algebra. A key ingredient is a characterization of compact open invariant subsets of the unit space of the graph groupoid in terms of the underlying graph: an open invariant subset is compact if and only if its associated hereditary and saturated set of vertices satisfies Condition (F). We also give a basis of the center. Its cardinality depends on the number of minimal compact open invariant subsets of the unit space. 2024-02-02T11:29:36Z 2024-02-02T11:29:36Z 2019-04 journal article Clark, L.O., Martín Barquero, D., Martín González, C. et al. Using the Steinberg algebra model to determine the center of any Leavitt path algebra. Isr. J. Math. 230, 23–44 (2019). https://doi.org/10.1007/s11856-018-1816-8 https://hdl.handle.net/10630/29711 https://doi.org/10.1007/s11856-018-1816-8 eng open access Springer