@article{0e8f2e422de842af8670b25b72a52496,
title = "AN IMPROVEMENT OF THE FARRELL-JONES CONJECTURE FOR LOCALISING INVARIANTS",
abstract = "The Farrell-Jones conjecture for lax monoidal finitary localising invariants was recently proved by Bunke-Kasprowski-Winges [On the Farrell- Jones conjecture for localising invariants, arxiv.org/abs/2111.02490, 2021]. In this short note, making use of the theory of noncommutative motives, we prove that the lax monoidal assumption is not necessary.",
author = "Reis, {Jos{\'e} Francisco}",
note = "Funding Information: Received by the editors December 12, 2022, and, in revised form, March 10, 2023, and April 28, 2023. 2020 Mathematics Subject Classification. Primary 18F25, 19D10, 19D23, 19D55, 19E08. This work was funded by national funds through the FCT - Funda{\c c}{\~a}o para a Ci{\^e}ncia e a Tecnologia, I.P., under the scope of the projects UIDB/00297/2020 and UIDP/00297/2020 (Center for Mathematics and Applications) and the PhD scholarship SFRH/BD/144305/2019. 1Recall that a subgroup V of G is called virtually cyclic if it contains a cyclic subgroup of finite index. 2Recall that the objects of GOrb are the left G-sets G/V , with V a subgroup of G, and the morphisms are the maps of G-sets G/V → G/V′. Publisher Copyright: {\textcopyright} 2023 American Mathematical Society.",
year = "2023",
month = dec,
day = "1",
doi = "10.1090/proc/16552",
language = "English",
volume = "151",
pages = "5111--5116",
journal = "Proceedings Of The American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "12",
}