Corners of Cuntz-Krieger algebras

preprint2013arXivOpen access

Abstract

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

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