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A not so simple local multiplier algebra

Pere Ara·Martin Mathieu
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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.

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Pere Ara, Martin Mathieu. 2005-09-19. A not so simple local multiplier algebra. https://arxiv.org/abs/math/0509437

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