Noncommutative Quillen-Lichtenbaum Conjecture
Algebraic Geometry
2026-05-01 v1 K-Theory and Homology
Abstract
We establish isomorphism ranges for the comparison maps between algebraic and topological K-groups, extending classical Quillen-Lichtenbaum conjecture to separated complex schemes of finite type after refinement. Additionally, we generalizes the conjecture through the lens of noncommutative geometry.
Cite
@article{arxiv.2604.27373,
title = {Noncommutative Quillen-Lichtenbaum Conjecture},
author = {Chunhui Wei},
journal= {arXiv preprint arXiv:2604.27373},
year = {2026}
}