Abstract
Using techniques from motivic homotopy theory, we prove a conjecture of Anthony Blanc about semi-topological K K -theory of dg categories with finite coefficients. Along the way, we show that the connective semi-topological K K -theories defined by Friedlander-Walker and by Blanc agree for quasi-projective complex varieties and we study Ă©tale descent of topological K K -theory of dg categories.
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