On the Farrell–Jones conjecture for localising invariants

Advances in Mathematics 2026 Open access

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Authors: Ulrich Bunke, Daniel Kasprowski, Christoph Winges
DOI: 10.1016/j.aim.2026.110788
Cited by: 0
References: 36

Abstract

We prove the Farrell–Jones conjecture for fifinitary localising invariants with coefficients in left-exact ∞-categories for finitely ℱ-amenable groups and, more generally, Dress-FarrellHsiang-Jones groups. Our result subsumes and unifies ments for the K-theory of additive categories and spherical group rings and extends it for example to categories of fect modules over E1-ring spectra.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Algebraic structures and combinatorial models Advanced Operator Algebra Research

Publication details

Journal / source
Advances in Mathematics
Volume
489
Pages
110788–110788
Publication date
22 January 2026
Language
EN