Koszul–Morita duality

Abstract

Abstract. We construct a generalization of Koszul duality in the sense of Keller-Lefèvre for not necessarily augmented algebras. This duality is closely related to classical Morita duality and specializes to it in certain cases.

Strictly unital A∞-algebras

“…There has been considerable further work developing Positselski's ideas, especially for operads [HM12,FK16,Lyu14,Gri16], see also [CLM16]. There has also been much work on homotopy, or weak, units in an A ∞ -algebra; see [KS09,Lyu11,MT14] and the references contained there.…”