Corners of Cuntz-Krieger algebras

Sara E. Arklint; Efren Ruiz

Corners of Cuntz-Krieger algebras

Operator Algebras 2013-09-20 v3

Authors: Sara E. Arklint , Efren Ruiz

Abstract

We show that if $A$ is a unital $C^*$ -algebra and $B$ is a Cuntz-Krieger algebra for which $A\otimes\mathbb{K} \cong B\otimes\mathbb{K}$ , then $A$ is a Cuntz-Krieger algebra. Consequently, corners of Cuntz-Krieger algebras are Cuntz-Krieger algebras.

Keywords

Cuntz-Krieger algebras C*-algebras corners stable isomorphism compact operators

Cite

@article{arxiv.1209.4336,
  title  = {Corners of Cuntz-Krieger algebras},
  author = {Sara E. Arklint and Efren Ruiz},
  journal= {arXiv preprint arXiv:1209.4336},
  year   = {2013}
}

Comments

Version 3: 20 pages. Corrected typos and added or clarified definitions. This is the version that will be published. Version 2: 18 pages, removed unnecessary assumptions in Theorem 3.5 and Corollary 3.6, and updated references

Corners of Cuntz-Krieger algebras

Abstract

Keywords

Cite

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