# Are there analogs of String Homology structure in cyclic homology?

I was reading John D.S. Jones' paper "Cyclic homology and equivariant homology" where he introduces a variant of cyclic homology that is isomorphic (as modules over the ring $K[u]$) to equivariant homology of the loop space of a simply connected space with the $S^1$ action on the loops, which is what I mean by String Homology.

I have seen how the loop homology BV operator shows up in Hochschild homology. Do we have an analog of string topology operations, such as the string bracket, in cyclic homology?

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In particular, there is an involutive Lie bialgebra on the reduced cyclic cohomology of a Frobenius CDGA. This resembles Chas-Sullivan's involutive Lie bialgebra on $H^{S^1}_*(LM,M)$. –  Manuel Rivera May 21 '14 at 12:23