Unstable algebraic K-theory: homological stability and other observations

2024/05/03 by Jansen, Mikala Ørsnes
#FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2405.02065

Abstract

We investigate stability properties of the reductive Borel-Serre categories; these were introduced as a model for unstable algebraic K-theory in previous work. We see that they exhibit better homological stability properties than the general linear groups. We also show that they provide an explicit model for Yuan's partial algebraic K-theory.

Related

• The reductive Borel-Serre compactification as a model for unstable algebraic K-theory
• A variant of algebraic K-theory
• Stability of algebraic varieties and Kahler geometry
• Excision, descent, and singularity in algebraic K-theory
• Algebraic G-theory in motivic homotopy categories