Geodesic
ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 187-198

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DOI

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 centre. 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. 
FERNÀNDEZ-VALÈNCIA, RAMSÈS; GIANSIRACUSA, JEFFREY. ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 187-198. doi: 10.1017/S0017089516000653
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     title = {ON {THE} {HOCHSCHILD} {HOMOLOGY} {OF} {INVOLUTIVE} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
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     year = {2018},
     volume = {60},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000653/}
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