On the Multiplicative Structure of Topological Hochschild Homology
Algebraic Topology
2014-10-01 v2
Abstract
We show that the topological Hochschild homology THH(R 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 Ass for monoid structures and the the little n-cubes operad is an E_{n+1}-operad, a result which is of independent interest.
Keywords
Cite
@article{arxiv.math/0410367,
title = {On the Multiplicative Structure of Topological Hochschild Homology},
author = {M. Brun and Z. Fiedorowicz and R. M. Vogt},
journal= {arXiv preprint arXiv:math/0410367},
year = {2014}
}
Comments
19 pages. Revised version with complete proofs