Are Yoneda products (also known as cup product) on Hochschild cohomology of two quasi-isomorphic DGAs equivalent?

  • $\begingroup$ Yes, cup products and more generally the Tamarki--Tsygan calculus of an algebra is derived invariant, and quasi isomorphic dga algebras are derived equivalent. The first is a recent result of Marco Armenta and Bernhard Keller. $\endgroup$ – Pedro Tamaroff Apr 13 at 10:57

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