Let $A$ be a dg-algebra, or more generally an $A_\infty$-algebra. Then it is well known that the Hochschild cochain complex $C^*(A, A)$ computing Hochschild cohomology is a $B_\infty$-algebra, see for example, the paper of Bernhard Keller   "Derived invariance of higher structures on the Hochschild complex"   available on his pageweb. 

I would like to know whether  the Hochschild  chain complex $C_*(A, A)$ (which computes Hochschild homology) is  a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$? 


Can someone give me the precise defintion, or a precise reference, of the action of $C^*(A,A)$ 

 on    $C_*(A, A)$ if the answer is Yes?