KMS and ground states for the normalized dynamics of the tame $C^{\ast }$-algebras ${\mathcal{O}}_{m,n}$

Paulo R. Pinto, Filipe Viseu

We study KMS and ground states of the tame $C^{\ast }$-algebras ${\mathcal{O}}_{m,n}$ of Ara, Exel and Katsura under the dynamics ${\sigma }_t(s_i)=m^{it}{s}_i$, ${\sigma }_t(t_j)=n^{it}{t}_j$. Normalized res…