Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A universal coarse K-theory   In this paper, we construct an equivariant coarse homology theory with values
in the category of non-commutative motives of Blumberg, Gepner and Tabuada,
with coefficients in any small additive category. Equivariant coarse K-theory
is obtained from the latter by passing to global sections. The present
construction extends joint work of the first named author with Engel,
Kasprowski and Winges by promoting codomain of the equivariant coarse
K-homology functor to non-commutative motives.

13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int