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Some remarks on topological $K$-theory of dg categories

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 Added by Benjamin Antieau
 Publication date 2017
  fields
and research's language is English




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



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