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On
the multiplicative structure of topological Hochschild
homology
Morten Brun, Zbigniew Fiedorowicz and Rainer M Vogt |
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Algebraic & Geometric Topology 7 (2007) 1633–1650
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arXiv: math/0410367 |
Abstract |
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We show that the topological Hochschild homology of an –ring spectrum is an –ring spectrum. The proof is based on the fact that the tensor product of the operad for monoid structures and the little –cubes operad is an –operad, a result which is of independent interest. |
Keywords
topological Hochschild homology, operads
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Mathematical Subject Classification 2000
Primary: 55P43
Secondary: 18D50
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References |
Publication
Received: 25 June 2007
Revised: 10 September 2007
Accepted: 1 October 2007
Published: 17 December 2007
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Authors |
| Morten Brun | |
| Department of Mathematics University of Bergen Johs. Brunsgt. 12 N-5008 Bergen Norway |
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| http://www.uib.no/People/mbr085/ | |
| Zbigniew Fiedorowicz | |
| Department of Mathematics The Ohio State University Columbus OH 43210-1174 USA |
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| http://www.math.ohio-state.edu/people/fiedorow/view | |
| Rainer M Vogt | |
| Universität Osnabrück Fachbereich Mathematik/Informatik Albrechtstr. 28a 49069 Osnabrück Germany |
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| http://www.mathematik.uni-osnabrueck.de/staff/phpages/vogtr.rdf.shtml | |
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