Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On unbounded, non-trivial Hochschild cohomology in finite von Neumann
  algebras and higher order Berezin's quantization   We introduce a class of densely defined, unbounded, 2-Hochschild cocycles
([PT]) on finite von Neumann algebras $M$. Our cocycles admit a coboundary,
determined by an unbounded operator on the standard Hilbert space associated to
the von Neumann algebra $M$. For the cocycles associated to the
$\Gamma$-equivariant deformation ([Ra]) of the upper halfplane
$(\Gamma=PSL_2(\mathbb Z))$, the "imaginary" part of the coboundary operator is
a cohomological obstruction - in the sense that it can not be removed by a
"large class" of closable derivations, with non-trivial real part, that have a
joint core domain, with the given coboundary.

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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int