The Farrell-Jones Conjecture for virtually solvable groups

Abstract

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

42 pages

References in corpus (3)

• The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
• The Farrell-Jones conjecture for S-arithmetic groups
• On the transfer reducibility of certain Farrell-Hsiang groups

Cited by in corpus (17)

• Twisting $L^2$-invariants with finite-dimensional representations
• Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups
• Algebraic K-theory of group rings and the cyclotomic trace map
• The Farrell-Jones conjecture for S-arithmetic groups
• On the K-theory of linear groups
• On the Farrell-Jones Conjecture for Waldhausen's $A$-theory
• Coassembly and the $K$-theory of finite groups
• The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited
• The A-theoretic Farrell-Jones Conjecture for virtually solvable groups
• On the stable Cannon Conjecture
• On the Farrell-Jones Conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method
• Survey on L^2-invariants and 3-manifolds
• Farrell-Jones via Dehn fillings
• External Spanier-Whitehead duality and homology representation theorems for diagram spaces
• The Isomorphism Conjecture for solvable groups in Waldhausen's A-theory
• Stable equivalence relations on 4-manifolds
• Topological Rigidity for FJ by the Infinite Cyclic Group