Quantitative K-theory and the Knneth formula for operator algebras
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2019 Elsevier Inc. In this paper, we apply quantitative operator K-theory to develop an algorithm for computing K-theory for the class of filtered C-algebras with asymptotic finite nuclear decomposition. As a consequence, we prove the Knneth formula for C-algebras in this class. Our main technical tool is a quantitative MayerVietoris sequence for K-theory of filtered C-algebras.