Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On sofic approximations of Property (T) groups   We prove Bowen's conjecture that every sequence of finite graphs that locally
converges to the Cayley graph of a countably infinite group with Kazhdan
Property (T) is essentially a vertex-disjoint union of expander graphs. We
characterize graph sequences that are essentially a vertex-disjoint union of
expander graphs in terms of the Markov operator.

27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
16
The categories of this paper are: stat