The isomorphism conjecture for Artin groups

Abstract

We prove the Farrell-Jones fibered isomorphism conjecture for several classes of Artin groups of finite and affine types. As a consequence, we compute explicitly the surgery obstruction groups of the finite type pure Artin groups.

There is an irrecoverable error in the proof of Theorem 4.2. This theorem is crucial for the proof of Theorem 1.1. The paper is withdrawn

References in corpus (6)

• A Homotopy Theory of Orbispaces
• The Farrell-Jones isomorphism conjecture for 3-manifold groups
• Braid groups of imprimitive complex reflection groups
• The isomorphism conjecture for 3-manifold groups and K-theory of virtually poly-surface groups
• On the isomorphism conjecture for groups acting on trees
• Surgery groups of the fundamental groups of hyperplane arrangement complements