Abstract
We show that the Connes-Moscovici negative cyclic cohomology of a Hopf algebra equipped with a character has a Lie bracket of degree −2. More generally, we show that a “cyclic operad with multiplication” is a cocyclic module whose simplicial cohomology is a BatalinVilkovisky algebra and whose negative cyclic cohomology is a graded Lie algebra of degree −2. This generalizes the fact that the Hochschild cohomology algebra of a symmetric algebra is a Batalin-Vilkovisky algebra.
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