Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizing Kasparov's KK-theory groups as the homotopy classes of maps of
  a Quillen model category   In this article we build a Quillen model category structure on the category
of sequentially complete l.m.c.-C*-algebras such that the corresponding
homotopy classes of maps Ho(A,B) for separable C*-algebras A and B coincide
with the Kasparov groups KK(A,B). This answers an open question posed by Mark
Hovey about the possibility of describing KK-theory for C*-algebras using the
language of Quillen model categories.

29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph