Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinitely presented small cancellation groups have the Haagerup
  property   We prove the Haagerup property (= Gromov's a-T-menability) for finitely
generated groups defined by infinite presentations satisfying the C'(1/6)-small
cancellation condition. We deduce that these groups are coarsely embeddable
into a Hilbert space and that the strong Baum-Connes conjecture holds for them.
The result is a first non-trivial advancement in understanding groups with such
properties among infinitely presented non-amenable direct limits of hyperbolic
groups. The proof uses the structure of a space with walls introduced by Wise.
As the main step we show that C'(1/6)-complexes satisfy the linear separation
property.

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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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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-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph