Free path groupoid grading on Leavitt path algebras

Abstract

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.

References in corpus (1)

• Partial dynamical systems and C*-algebras generated by partial isometries