Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operator algebraic approach to inverse and stability theorems for
  amenable groups   We prove an inverse theorem for the Gowers $U^2$-norm for maps $G\to\mathcal
M$ from an countable, discrete, amenable group $G$ into a von Neumann algebra
$\mathcal M$ equipped with an ultraweakly lower semi-continuous, unitarily
invariant (semi-)norm $\Vert\cdot\Vert$. We use this result to prove a
stability result for unitary-valued $\varepsilon$-representations $G\to\mathcal
U(\mathcal M)$ with respect to $\Vert\cdot \Vert$.

13
The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas