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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4211-4219 |
| Number of pages | 9 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 146 |
| Issue number | 10 |
| DOIs | |
| State | Published - 2018 |
Keywords
- Motivic homotopy theory
- Semi-topological K-theory
- dg categories
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics