Tensor product of cyclic A${}_{\infty }$-algebras and their Kontsevich classes

Lino Amorim, Junwu Tu

Given two cyclic A${}_{\infty }$-algebras $A$ and $B$, we prove that there exists a cyclic A${}_{\infty }$-algebra structure on their tensor product $A\otimes B$ which is unique up to a cycl…