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ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS
release_enm34ulrp5bwtc236nycjiis7u
by
RAMSÈS FERNÀNDEZ-VALÈNCIA,
JEFFREY GIANSIRACUSA
Published
in Glasgow Mathematical Journal
by Cambridge University Press (CUP).
2017 Volume 60, Issue 01, p187-198
Abstract
<jats:title>Abstract</jats:title>
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.
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