2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94658We construct an AF-algebra $A$ such that its local multiplier algebra $M_{\text{loc}}(A)$ does not agree with $M_{\text{loc}}(M_{\text{loc}}(A))$, thus answering a question raised by G.K. Pedersen in 1978.18 pagesOperator AlgebrasA not so simple local multiplier algebratext