The Farrell-Jones conjecture for S-arithmetic groups

Abstract

This paper contains the results of my PhD-thesis. I will show the K- and L-theoretic Farrell-Jones conjecture (FJC) for the general linear groups over the rationals and over the rational functions over a finite field. This especially implies the conjecture for all S-arithmetic groups.

40 pages, 3 figures

References in corpus (2)

• The Farrell-Jones Conjecture for virtually solvable groups
• Long and thin covers for flow spaces

Cited by in corpus (11)

• The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups
• The Farrell-Jones Conjecture for virtually solvable groups
• Algebraic K-theory of group rings and the cyclotomic trace map
• A vanishing theorem for tautological classes of aspherical manifolds
• On the Farrell-Jones Conjecture for Waldhausen's $A$-theory
• On the Farrell-Jones Conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method
• The A-theoretic Farrell-Jones Conjecture for virtually solvable groups
• On the stable Cannon Conjecture
• External Spanier-Whitehead duality and homology representation theorems for diagram spaces
• The Isomorphism Conjecture for solvable groups in Waldhausen's A-theory
• Topological Rigidity for FJ by the Infinite Cyclic Group