Fredholm modules over graph C*-algebras
classification
🧮 math.OA
math.KT
keywords
fredholmk-homologyalgebrasgraphmodulesalgebraapplicationsclass
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We present two applications of explicit formulas, due to Cuntz and Krieger, for computations in K-homology of graph C*-algebras. We prove that every K-homology class for such an algebra is represented by a Fredholm module having finite-rank commutators; and we exhibit generating Fredholm modules for the K-homology of quantum lens spaces.
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