摘要
In this note,we use the pairing induced by the interchange map in conjunction with the strongly homotopy commutative algebra structure to define products on the Eilenberg-Moore differential Tor and give a simplified proof of an improved outcome of Jsone's result due to Ndombol and Thomas.As a result,we establish an isomorphism of graded algebras between the Hochschild homology and the free loop space cohomology of a simply connected topological space.