The Farrell-Jones Conjecture for virtually solvable groups

TL;DR

This paper proves the Farrell-Jones Conjecture for a broad class of groups called virtually solvable groups, advancing understanding in algebraic K- and L-theory.

Contribution

It establishes the conjecture for virtually solvable groups, a significant extension of previous results in algebraic topology and group theory.

Findings

Proof of the Farrell-Jones Conjecture for virtually solvable groups

Extension of the conjecture's validity to new group classes

Implications for algebraic K- and L-theory computations

Abstract

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