The Farrell-Jones Conjecture for normally poly-free groups

2019/06/04 by Brück, Benjamin, Kielak, Dawid, Wu, Xiaolei
#18F25 #19A31 #19B28 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1906.01360

Abstract

We prove the K- and L-theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular for even Artin groups of FC-type, and for all groups of the form A\rtimes ℤ where A is a right-angled Artin group. Our proof relies on the work of Bestvina-Fujiwara-Wigglesworth on the Farrell--Jones Conjecture for free-by-cyclic groups.

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