2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59994We prove that the value of the quasi-trace on an idempotent element in a AW*-factor of type II_1 is the same as the dimension of its left (or right) support.LaTeX 7Operator Algebras46L10 (Primary); 46L30 (Secondary)A note on idempotents in finite AW*-factorstext