Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices

Guido Arnone, Guillermo Cortiñas

Let $n\ge 2$, let ${\mathcal{R}}_n$ be the graph consisting of one vertex and $n$ loops and let ${\mathcal{R}}_{n^{-}}$ be its Cuntz splice. Let $L_n=L({\mathcal{R}}_n)$ and $L_{n^-}=L(\ma…