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arxiv: 1511.05368 · v1 · pith:ZBFNFO3Nnew · submitted 2015-11-17 · 🧮 math.RA · math.OA

Free path groupoid grading on Leavitt path algebras

classification 🧮 math.RA math.OA
keywords pathalgebrasgroupoidleavittfreegradingcharacterizegenerators
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In this work we realize Leavitt path algebras as partial skew groupoid rings. This yields a free path groupoid grading on Leavitt path algebras. Using this grading we characterize free path groupoid graded isomorphisms of Leavitt path algebras that preserves generators.

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