Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hochschild-Witt complex   In arxiv:1602.04254, we have defined polynomial Witt vectors functor from
vector spaces over a perfect field $k$ of positive characteristic $p$ to
abelian groups. In this paper, we use polynomial Witt vectors to construct a
functorial Hochschild-Witt complex $WCH_*(A)$ for any associative unital
$k$-algebra $A$, with homology groups $WHH_*(A)$. We prove that the group
$WHH_0(A)$ coincides with the group of non-commutative Witt vectors defined by
Hesselholt, while if $A$ is commutative, finitely generated, and smooth, the
groups $WHH_i(A)$ are naturally identified with the terms $W\Omega^i_A$ of the
de Rham-Witt complex of the spectrum of $A$.

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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci