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 cen...

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Bibliographic Details
Published inarXiv.org
Main Authors Fernandez-Valencia, Ramses, Giansiracusa, Jeffrey
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 12.07.2016
Subjects
Algebra
Homology
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Summary: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.
ISSN:2331-8422