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arxiv: 1302.4135 · v2 · pith:MEOPKSM5new · submitted 2013-02-17 · 🧮 math.OA

The corona algebra of stablized Jiang-Su algebra

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keywords algebracoronajiang-suotimesproveactuallycompactdimensional
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Let ${\cal Z}$ be the Jiang-Su algebra and ${\cal K}$ the C*-algebra of compact operators on an infinite dimensional separable Hilbert space. We prove that the corona algebra $M({\cal Z}\otimes {\cal K})/{\cal Z}\otimes {\cal K}$ has real rank zero. We actually prove a more general result.

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