Some intrinsic properties of simple graph $C^{\ast }$-algebras

David Pask, Seung-Jai Rho

To a directed graph $E$ is associated a $C^{\ast }$-algebra $C^{\ast }(E)$ called a graph $C^{\ast }$-algebra. There is a canonical action $\gamma$ of $\mathbf{T}$ on $C^{\ast }(E)$, called the gauge action. In…