K- and L-theory of group rings over GL_n(Z)

TL;DR

This paper proves the Farrell-Jones Conjecture for K- and L-theory in the context of group rings over the general linear group GL_n(Z), advancing understanding in algebraic K- and L-theory.

Contribution

It establishes the Farrell-Jones Conjecture for GL_n(Z), a significant class of groups, in the setting of K- and L-theory with coefficients in additive categories.

Findings

Proof of the Farrell-Jones Conjecture for GL_n(Z) in K-theory

Proof of the Farrell-Jones Conjecture for GL_n(Z) in L-theory

Advancement in algebraic K- and L-theory for linear groups

Abstract

We prove the K- and L-theoretic Farrell-Jones Conjecture (with coefficients in additive categories) for GL_n(Z).