Derived noncommutative Zariski immersion and an equivalent reformulation of Friedlander-Milnor conjecture

TL;DR

This paper introduces a new concept of derived formal noncommutative Zariski immersion for differential graded algebras and uses it to reformulate the Friedlander-Milnor conjecture, connecting topology and noncommutative geometry.

Contribution

It defines derived formal noncommutative Zariski immersion and demonstrates its application by reformulating a major conjecture in topology.

Findings

Reformulation of Friedlander-Milnor conjecture using noncommutative Zariski immersions

Introduction of derived formal noncommutative Zariski immersion concept

Examples from topology illustrating the new notion

Abstract

WeintroducethenotionofderivedformalnoncommutativeZariski immersion for differential graded algebra with examples from topology. We il- lustrate the importance of such notion by reformulating the Friedlander-Milnor conjecture in terms of formal noncommutative Zariski immersions. This paper is based on the language developed by Dwyer, Greenless and Iyendar.