The corona algebra of stablized Jiang-Su algebra

Huaxin Lin; Ping Wong Ng

The corona algebra of stablized Jiang-Su algebra

Operator Algebras 2015-03-31 v2

Authors: Huaxin Lin , Ping Wong Ng

Abstract

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.

Keywords

corona algebra Jiang-Su algebra real rank zero C*-algebra compact operators

Cite

@article{arxiv.1302.4135,
  title  = {The corona algebra of stablized Jiang-Su algebra},
  author = {Huaxin Lin and Ping Wong Ng},
  journal= {arXiv preprint arXiv:1302.4135},
  year   = {2015}
}

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