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- W2338878081 abstract "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." @default.
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- W2338878081 date "2016-04-04" @default.
- W2338878081 modified "2023-10-01" @default.
- W2338878081 title "Using the Steinberg algebra model to determine the center of any Leavitt path algebra" @default.
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