Noncommutative augmentation categories
  To a differential graded algebra with coefficients in a noncommutative algebra, by dualisation we associate an $A_\infty$-category whose objects are augmentations. This generalises the augmentation category of Bourgeois and Chantraine to the noncommutative world. 
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini,   Roman Golovko
math.SG math.RA