Autour des r\'esultats d'annulation cohomologique de Scorichenko

TL;DR

This paper presents an unpublished proof by Scorichenko demonstrating the isomorphism between stable K-theory and functor homology for polynomial coefficients over any ring, clarifying a key aspect of algebraic K-theory.

Contribution

It provides the first accessible proof of Scorichenko's isomorphism result, expanding understanding in algebraic K-theory and functor homology.

Findings

Unpublished proof of the isomorphism between stable K-theory and functor homology.

Applicability of the result over arbitrary rings.

Clarification of polynomial coefficient behavior in algebraic K-theory.

Abstract

The ain of this note is to make available the unpublished proof of Scorichenko of the isomorphism between stable K-theory and functor homology for polynomial coefficients over an arbitrary ring.