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arXiv 1302.4135math.OA
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稳定化Jiang-Su代数的冠代数

The corona algebra of stablized Jiang-Su algebra

Huaxin Lin, Ping Wong Ng

摘要:

设${\cal Z}$是无限维可分希尔伯特空间上的Jiang-Su代数,${\cal K}$是紧算子的C* 代数.证明了冠代数$M({\cal Z}\otimes {\cal K})/{\cal Z}\otimes {\cal K}$具有实秩零.我们实际上证明了一个更一般的结果。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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