Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The equivariant coarse Baum-Connes conjecture for actions by a-T-menable
  groups   The equivariant coarse Baum-Connes conjecture was firstly introduced by Roe
[29] as a unified way to approach both the Baum-Connes conjecture and its
coarse counterpart. In this paper, we prove that if an a-T-menable group
$\Gamma$ acts properly and isometrically on a bounded geometry metric space $X$
with controlled distortion such that the quotient space $X/\Gamma$ is coarsely
embeddable, then the equivariant coarse Baum-Connes conjecture holds for this
action. This answers a question posed in [8] affirmatively.

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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: eess