Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Baum--Connes conjecture with coefficients for linear algebraic
  groups   We prove the Baum--Connes conjecture with arbitrary coefficients for some
classes of groups:
  (1) Linear algebraic groups over a non-archimedean local field.
  (2) Linear algebraic groups over the adeles of a global field k, provided
that at every archimedean place of k the associated Lie group is amenable.
  (3) All closed subgroups of the above groups. This includes linear algebraic
groups over global fields - with the same condition as in (2).
  Update: proof of main results incomplete, maybe not repairable.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio