# Invariance of Yoneda product

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

• 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. – Pedro Tamaroff Apr 13 at 10:57