Abstract
The dual Steenrod algebra has a canonical subalgebra isomorphic to the homology of the Brown-Peterson spectrum. We will construct a secondary operation in mod-2 homology and show that this canonical subalgebrais not closed under it. This allows us to conclude that the 2-primary Brown- Peterson spectrum does not admit the structure of an En-algebra forany n ≥ 12, answering a question of May in the negative.
Original language | English (US) |
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Pages (from-to) | 513-576 |
Number of pages | 64 |
Journal | Annals of Mathematics |
Volume | 188 |
Issue number | 2 |
DOIs | |
State | Published - 2018 |
Bibliographical note
Funding Information:Keywords: structured ring spectra, secondary operations, Brown-Peterson spectrum AMS Classification: Primary: 55P43. The author was partially supported by NSF grant 1610408. ©c 2018 Department of Mathematics, Princeton University.
Publisher Copyright:
© 2018 Department of Mathematics, Princeton University.
Keywords
- Brown-Peterson spectrum
- Secondary operations
- Structure dring spectra