Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The derived category of complex periodic K-theory localized at an odd
  prime   We prove that for an odd prime $p$, the derived category
$\mathcal{D}(KU_{(p)})$ of the $p$-local complex periodic $K$-theory spectrum
$KU_{(p)}$ is triangulated equivalent to the derived category of its homotopy
ring $\pi_*KU_{(p)}$. This implies that if $p$ is an odd prime, the
triangulated category $\mathcal{D}(KU_{(p)})$ is algebraic.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys