Flow invariants in the classification of Leavitt path algebras

  title={Flow invariants in the classification of Leavitt path algebras},
  author={Gene Abrams and A. Louly and Enrique Pardo and Connor Smith},
  journal={arXiv: Rings and Algebras},
We analyze in the context of Leavitt path algebras some graph operations introduced in the context of symbolic dynamics by Williams, Parry and Sullivan, and Franks. We show that these operations induce Morita equivalence of the corresponding Leavitt path algebras. As a consequence we obtain our two main results: the first gives sufficient conditions for which the Leavitt path algebras in a certain class are Morita equivalent, while the second gives sufficient conditions which yield isomorphisms… Expand
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