We show that the topological Hochschild homology THH(R) of an En–ring spectrum R is an En−1–ring spectrum. The proof is based on the fact that the tensor product of the operad Ass for monoid structures and the little n–cubes operad Cn is an En+1–operad, a result which is of independent interest.
Brun, Morten 1 ; Fiedorowicz, Zbigniew 2 ; Vogt, Rainer 3
@article{10_2140_agt_2007_7_1633,
author = {Brun, Morten and Fiedorowicz, Zbigniew and Vogt, Rainer},
title = {On the multiplicative structure of topological {Hochschild} homology},
journal = {Algebraic and Geometric Topology},
pages = {1633--1650},
year = {2007},
volume = {7},
number = {4},
doi = {10.2140/agt.2007.7.1633},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2007.7.1633/}
}
TY - JOUR AU - Brun, Morten AU - Fiedorowicz, Zbigniew AU - Vogt, Rainer TI - On the multiplicative structure of topological Hochschild homology JO - Algebraic and Geometric Topology PY - 2007 SP - 1633 EP - 1650 VL - 7 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2007.7.1633/ DO - 10.2140/agt.2007.7.1633 ID - 10_2140_agt_2007_7_1633 ER -
%0 Journal Article %A Brun, Morten %A Fiedorowicz, Zbigniew %A Vogt, Rainer %T On the multiplicative structure of topological Hochschild homology %J Algebraic and Geometric Topology %D 2007 %P 1633-1650 %V 7 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2007.7.1633/ %R 10.2140/agt.2007.7.1633 %F 10_2140_agt_2007_7_1633
Brun, Morten; Fiedorowicz, Zbigniew; Vogt, Rainer. On the multiplicative structure of topological Hochschild homology. Algebraic and Geometric Topology, Tome 7 (2007) no. 4, pp. 1633-1650. doi: 10.2140/agt.2007.7.1633
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