The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups
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-L\"uck-Reich, as well as the structure theory of mapping tori by Dahmani-Krishna.
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