The corona algebra of stablized Jiang-Su algebra

preprint2015arXivOpen access

Abstract

Let Z{\cal Z} be the Jiang-Su algebra and K{\cal K} the C*-algebra of compact operators on an infinite dimensional separable Hilbert space. We prove that the corona algebra M(Z⊗K)/Z⊗KM({\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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