ALGEBRAIC CUNTZ–KRIEGER ALGEBRAS
ALGEBRAIC CUNTZ–KRIEGER ALGEBRAS
We show that a directed graph $E$ is a finite graph with no sinks if and only if, for each commutative unital ring $R$ , the Leavitt path algebra $L_{R}(E)$ is isomorphic to an algebraic Cuntz–Krieger algebra if and only if the $C^{\ast }$ -algebra $C^{\ast }(E)$ is unital and …