SOME REMARKS ON TOPOLOGICAL K-THEORY OF DG CATEGORIES

作者:Antieau Benjamin*; Heller Jeremiah
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(10): 4211-4219.
DOI:10.1090/proc/14128

摘要

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.

  • 出版日期2018-10