English

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

Algebraic Geometry 2018-02-13 v2

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 \'etale descent of topological K-theory of dg categories.

Keywords

Cite

@article{arxiv.1709.01587,
  title  = {Some remarks on topological $K$-theory of dg categories},
  author = {Benjamin Antieau and Jeremiah Heller},
  journal= {arXiv preprint arXiv:1709.01587},
  year   = {2018}
}

Comments

Final version; to appear in Proceedings of the AMS