The C∗-algebras of Arbitrary Graphs
نویسنده
چکیده
To an arbitrary directed graph we associate a row-finite directed graph whose Calgebra contains the C-algebra of the original graph as a full corner. This allows us to generalize results for C-algebras of row-finite graphs to C-algebras of arbitrary graphs: the uniqueness theorem, simplicity criteria, descriptions of the ideals and primitive ideal space, and conditions under which a graph algebra is AF and purely infinite. Our proofs require only standard CuntzKrieger techniques and do not rely on powerful constructs such as groupoids, Exel-Laca algebras, or Cuntz-Pimsner algebras.
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