Irreducibility and monicity for representations of $k$-graph $C^{\ast }$-algebras

Carla Farsi, Elizabeth Gillaspy, Daniel Gonçalves

The representations of a $k$-graph $C^{\ast }$-algebra $C^{\ast }(\Lambda )$ which arise from $\Lambda$-semibranching function systems are closely linked to the dynamics of the $k$-graph $\Lambda$. In this paper…