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arxiv: 1209.4336 · v3 · pith:URYQMGJXnew · submitted 2012-09-19 · 🧮 math.OA

Corners of Cuntz-Krieger algebras

classification 🧮 math.OA
keywords cuntz-kriegeralgebraalgebrascornersmathbbotimescongconsequently
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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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