Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Baum-Connes conjecture and proper group actions on affine buildings   We study the possibility of applying a finite-dimensionality argument in
order to address parts of the Baum-Connes conjecture for finitely generated
linear groups. This gives an alternative approach to the results of Guentner,
Higson, and Weinberger concerning the Baum-Connes conjecture for linear groups.
  For any finitely generated linear group over a field of characteristic zero
we construct a proper action on a finite-asymptotic-dimensional CAT(0)-space,
provided that for such a group its unipotent subgroups have `bounded
composition rank'. The CAT(0)-space in our construction is a finite product of
symmetric spaces and affine Bruhat-Tits buildings.
  For the case of finitely generated subgroup of SL(2,C) the result is
sharpened to show that the Baum-Connes assembly map is an isomorphism.

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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cs