# A not so simple local multiplier algebra

Research paper by Pere Ara, Martin Mathieu

Indexed on: 19 Sep '05Published on: 19 Sep '05Published in: Mathematics - Operator Algebras

#### Abstract

We 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.