Corners of Cuntz-Krieger algebras

Arklint, Sara; Ruiz, Efren

doi:10.1090/S0002-9947-2015-06283-7

Corners of Cuntz-Krieger algebras
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by Sara E. Arklint and Efren Ruiz PDF

Trans. Amer. Math. Soc. 367 (2015), 7595-7612 Request permission

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.

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