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.
Bibliographical noteFunding 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.
- Brown-Peterson spectrum
- Secondary operations
- Structure dring spectra