Some intrinsic properties of simple graph $C^*$-algebras
Abstract
Description
To a directed graph $E$ is associated a $C^*$-algebra $C^* (E)$ called a graph $C^*$-algebra. There is a canonical action $γ$ of ${\bf T}$ on $C^* (E)$, called the gauge action. In this paper we present necessary and sufficient conditions for the fixed point algebra $C^* (E)^γ$ to be simple. Our results also yield some structure theorems for simple graph algebras.
15 pages with one embedded diagram. To appear, Proc. OAMP conference, Constanta, 2001
15 pages with one embedded diagram. To appear, Proc. OAMP conference, Constanta, 2001