Hochschild homology and cohomology for involutive $A_\infty$-algebras
  We present a study of the homological algebra of bimodules over $A_\infty$-algebras endowed with an involution. Furthermore we introduce a derived description of Hochschild homology and cohomology for involutive $A_\infty$-algebras. 
Ramses Fernandez-Valencia
math.AT