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arXiv · 1505.02219

On the Hochschild homology of involutive algebras

Ramses Fernandez-Valencia·Jeffrey Giansiracusa
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Abstract

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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BibTeXRIS

Ramses Fernandez-Valencia, Jeffrey Giansiracusa. 2015-05-09. On the Hochschild homology of involutive algebras. https://arxiv.org/abs/1505.02219

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