The Farrell-Jones Conjecture For Normally Poly-Free Groups

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY(2021)

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摘要
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 (sic) 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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关键词
The Farrell-Jones Conjecture, K-theory of group rings, L-theory of group rings, Artin groups, right-angled Artin group, normally poly-free groups
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