DERIVED INVARIANCE OF HIGHER STRUCTURES ON THE HOCHSCHILD COMPLEX

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Hochschild cohomology of abelian categories and ringed spaces (2004, methodology): “There is also a transitivity result for the maps φX. Theorem 4.1.4. [ 19 ] Let X be a cofibrant a”
The Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra (2014, background): “Since derived equivalent algebras have isomorphic Hochschild cohomology rings ([30, 23]), we have proved in this subsection the following”
MULTIPLICATIVE STRUCTURES FOR KOSZUL ALGEBRAS (2005, background): “as a part of a more general isomorphism between the Hochschild cohomology ring of Λ and the graded Hochschild cohomology ring of the Koszul dual. This isomorphism has since been generalized by Keller [12]. We note that the image of ϕΛ/r is in general strictly contained in Zgr(E(Λ)), see [8, Example ”
FINITE HOCHSCHILD COHOMOLOGY WITHOUT FINITE GLOBAL DIMENSION (2004, unknown): “In either case E(Λ) is a finitely generated module over H � . By [3] or [ 11 ] the image of the natural map HH∗(Λ) → E(Λ) is Zgr(E(Λ)).”