Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Hochschild homology of involutive algebras   We study the homological algebra of bimodules over involutive associative
algebras. We show that Braun's definition of involutive Hochschild cohomology
in terms of the complex of involution-preserving derivations is indeed
computing a derived functor: the Z/2-invariants intersected with the center. We
then introduce the corresponding involutive Hochschild homology theory and
describe it as the derived functor of the pushout of Z/2-coinvariants and
abelianization.

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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg