The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited

TL;DR

This paper extends the proof of the Farrell-Jones conjecture to a broader class of groups, including hyperbolic and CAT(0) groups, providing a unified approach for both.

Contribution

It generalizes the proof of the Farrell-Jones conjecture to include hyperbolic groups alongside CAT(0) groups, unifying the proof for these classes.

Findings

Proof of the Farrell-Jones conjecture now applies to hyperbolic groups.

Unified proof for both hyperbolic and CAT(0) groups.

Broader applicability of the conjecture in geometric group theory.

Abstract

We generalize the proof of the Farrell-Jones conjecture for CAT(0)-groups to a larger class of groups in particular also containing all hyperbolic groups. This way we give a unified proof for both classes of groups.