2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126805To a higher rank directed graph $(Λ, d)$, in the sense of Kumjian and Pask, one can associate natural noncommutative analytic Toeplitz algebras, both weakly closed and norm closed. We introduce methods for the classification of these algebras in the case of single vertex graphs.Includes comment on related joint work with Baruch Solel and minor changes. 35 pages.Operator Algebras47L55text