Abstract
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 Künneth formula for C⁎-algebras in this class. Our main technical tool is a quantitative Mayer–Vietoris sequence for K-theory of filtered C⁎-algebras.
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