#### Volume 7, issue 4 (2007)

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On the multiplicative structure of topological Hochschild homology

### Morten Brun, Zbigniew Fiedorowicz and Rainer M Vogt

Algebraic & Geometric Topology 7 (2007) 1633–1650
 arXiv: math/0410367
##### Abstract

We show that the topological Hochschild homology $THH\left(R\right)$ of an ${E}_{n}$–ring spectrum $R$ is an ${E}_{n-1}$–ring spectrum. The proof is based on the fact that the tensor product of the operad $\mathsc{A}ss$ for monoid structures and the little $n$–cubes operad ${\mathsc{C}}_{n}$ is an ${E}_{n+1}$–operad, a result which is of independent interest.