Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Farrell-Jones conjecture for localising invariants   We show the Farrell-Jones conjecture with coefficients in left-exact
$\infty$-categories for finitely $\mathcal{F}$-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
$\mathbb{E}_{1}$-ring spectra.

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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg