2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215704We construct an algebra with twisted commutation relations and equip it with the shift. For appropriate irregularity of the non-local commutation relations we prove that the tracial state is the only translation-invariant state.Mathematical Physics37A25; 37A60; 46L89; 46L55Translation Invariant States on Twisted Algebras on a Latticetext