The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups

2021/05/27 by Bestvina, Mladen, Fujiwara, Koji, Wigglesworth, Derrick
#18F25 #20F65 #FOS: Mathematics #Geometric Topology (math.GT) #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2105.13291

Abstract

We prove the Farrell-Jones Conjecture for mapping tori of automorphisms of virtually torsion-free hyperbolic groups. The proof uses recently developed geometric methods for establishing the Farrell-Jones Conjecture by Bartels-Lück-Reich, as well as the structure theory of mapping tori by Dahmani-Krishna.

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