Leavitt path algebras as partial skew group rings

Abstract

We realize Leavitt path algebras as partial skew group rings and give new proofs, based on partial skew group ring theory, of the Cuntz-Krieger uniqueness theorem and simplicity criteria for Leavitt path algebras.

24 pages

References in corpus (3)

• Partial dynamical systems and C*-algebras generated by partial isometries
• C*-algebras Associated do Stationary Ordered Bratteli Diagrams
• The graded structure of Leavitt Path algebras

Cited by in corpus (4)

• Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions
• Branching systems and representations of Cohn-Leavitt path algebras of separated graphs
• Simplicity of partial skew group rings and maximal commutativity
• Partial crossed products as equivalence relation algebras