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Quantum Cuntz-Krieger algebras

Quantum Cuntz-Krieger algebras

Motivated by the theory of Cuntz-Krieger algebras we define and study <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript asterisk"> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding="application/x-tex">C^\ast</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras associated to directed quantum graphs. For classical graphs the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript asterisk"> <mml:semantics> <mml:msup> …