Exel-Pardo algebras of self-similar $k$-graphs

Hossein Larki

We introduce the Exel-Pardo $\ast$-algebra ${\mathrm{EP}}_R(G,\Lambda )$ associated to a self-similar $k$-graph $(G,\Lambda ,\phi )$. We prove the ${\mathbb{Z}}^k$-graded and Cuntz-Krieger uniqueness theor…