GENERAL CUNTZ–KRIEGER UNIQUENESS THEOREM

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Isomorphisms of algebras associated with directed graphs (2003, methodology): “(The proof of this result utilizes a Cuntz-Krieger uniqueness Theorem [35], thus making an important connection with the selfadjoint theory.”
Stable rank of graph algebras. Type I graph algebras and their limits (2002, methodology): “Among others, we have also used the general criterion of injectivity of homomorphisms of graph algebras, proved in [16], and the characterization of stable graph algebras, given in [17].”
Partial actions and KMS states on relative graph C⁎-algebras☆ (2013, methodology): “We recall from, for example [1], [28] and [29] that the C∗-algebra C∗(E) of the graph E is defined as the universal C∗-algebra generated by a Cuntz-Krieger E-family (se, pv)e∈E1,v∈E0 consisting of partial isometries (se)e∈E1 with mutually orthogonal range projections and mutually orthogonal projecti”