Some remarks on topological 𝐾-theory of dg categories

Antieau, Benjamin; Heller, Jeremiah

doi:10.1090/proc/14128

Some remarks on topological $K$-theory of dg categories
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by Benjamin Antieau and Jeremiah Heller PDF

Proc. Amer. Math. Soc. 146 (2018), 4211-4219 Request permission

Abstract:

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 étale descent of topological $K$-theory of dg categories.

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