Uniqueness Theorems and Ideal Structure for Leavitt Path Algebras

  • Published 2006


We prove Leavitt path algebra versions of the two uniqueness theorems of graph C-algebras. We use these uniqueness theorems to analyze the ideal structure of Leavitt path algebras and give necessary and sufficient conditions for their simplicity. We also use these results to give a proof of the fact that for any graph E the Leavitt path algebra LC(E) embeds… (More)

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