Separable representations, KMS states, and wavelets for higher-rank graphs

Carla Farsi, Elizabeth Gillaspy, Sooran Kang +1

Let $\Lambda$ be a strongly connected, finite higher-rank graph. In this paper, we construct representations of $C^{\ast }(\Lambda )$ on certain separable Hilbert spaces of the form $L^2(X,\mu )$, by in…