2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171489We establish a description of the maximal C*-algebra of quotients of a unital C*-algebra $A$ as a direct limit of spaces of completely bounded bimodule homomorphisms from certain operator submodules of the Haagerup tensor product $A\otimes_h A$ labelled by the essential closed right ideals of $A$ into $A$. In addition the invariance of the construction of the maximal C*-algebra of quotients under strong Morita equivalence is proved.8 pages; submittedOperator AlgebrasFunctional Analysis46L05; 16 D90; 46A13; 46H25; 46L07; 47L25text