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arxiv: math/0509437 · v1 · submitted 2005-09-19 · 🧮 math.OA

A not so simple local multiplier algebra

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keywords textalgebralocalmultiplieraf-algebraagreeansweringconstruct
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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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