Hochschild cohomology of fully group-graded algebras as Mackey functor

2014/10/16 by Coconet, Tiberiu, Todea, Constantin-Cosmin
#FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1410.4513

Abstract

We prove that Hochschild cohomology of a certain class of fully group-graded algebras is a Mackey functor. We use the machinery of transfer maps between the Hochschild cohomology of symmetric algebras.

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• Symmetric cohomology of groups as a Mackey functor
• Tate duality and transfer in Hochschild cohomology
• Singular Hochschild cohomology via the singularity category
• Some remarks on Mackey functors
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