Hereditary $C^{\ast }$-subalgebras of graph $C^{\ast }$-algebras

Sara E. Arklint, James Gabe, Efren Ruiz

We show that a $C^{\ast }$-algebra $\mathfrak{A}$ which is stably isomorphic to a unital graph $C^{\ast }$-algebra, is isomorphic to a graph $C^{\ast }$-algebra if and only if it admits an approxima…