On the Multiplicative Structure of Topological Hochschild Homology

Details On the Multiplicative Structure of Topological Hochschild Homology On the Multiplicative Structure of Topological Hochschild Homology

2004-10-16

arxiv.org/abs/math/0410367v2

Mathematics

Algebraic Topology

19 pages. Revised version with complete proofs

Scientific paper

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.

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