Free path groupoid grading on Leavitt path algebras
Free path groupoid grading on Leavitt path algebras
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.