On the Farrell-Jones conjecture for localising invariants

2021/11/03 by Bunke, Ulrich, Kasprowski, Daniel, Winges, Christoph · 1 citation
#FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2111.02490

Abstract

We show the Farrell-Jones conjecture with coefficients in left-exact ∞-categories for finitely F-amenable groups and, more generally, Dress-Farrell-Hsiang-Jones groups. Our result subsumes and unifies arguments for the K-theory of additive categories and spherical group rings and extends it for example to categories of perfect modules over 𝔼₁-ring spectra.

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