2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138644We study the C*-algebras and von Neumann algebras associated with the universal discrete quantum groups. They give rise to full prime factors and simple exact C*-algebras. The main tool in our work is the study of an amenable boundary action, yielding the Akemann-Ostrand property. Finally, this boundary can be identified with the Martin or the Poisson boundary of a quantum random walk.Correction in postal adressOperator AlgebrasQuantum Algebratext