The Farrell–Jones Conjecture for Hyperbolic-by-Cyclic Groups

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  • Mladen Bestvina
    Department of Mathematics, University of Utah , 155 S. 1400 E. Salt Lake City, UT 84112, USA
  • Koji Fujiwara
    Department of Mathematics, Kyoto University , Kyoto 606-8502, Japan
  • Derrick Wigglesworth
    Department of Mathematical Sciences, University of Arkansas , 309 SCEN, Fayetteville, AR 72703, USA

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<jats:title>Abstract</jats:title> <jats:p>We prove the Farrell–Jones conjecture (FJC) for mapping tori of automorphisms of virtually torsion-free hyperbolic groups. The proof uses recently developed geometric methods for establishing the FJC by Bartels–Lück–Reich, as well as the structure theory of mapping tori by Dahmani–Krishna.</jats:p>

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