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Uniqueness of $E_infty$ structures for connective covers | | Andrew Baker
; Birgit Richter
; | | Date: |
21 Jun 2005 | | Subject: | Algebraic Topology MSC-class: 55P43; 55N15 | math.AT | | Abstract: | We refine our earlier work on the existence and uniqueness of E-infinity structures on K-theoretic spectra to show that at each prime p, the connective Adams summand has an essentially unique structure as a commutative S-algebra. For the p-completion we show that the McClure-Staffeldt model for it is equivalent as an E-infinity ring spectrum to the connective cover of the periodic Adams summand. We establish Bousfield equivalence between the connective cover, c(E_n), of the Lubin-Tate spectrum E_n and BP and propose c(E_n) as an E-infinity approximation to the latter. | | Source: | arXiv, math.AT/0506422 | | Services: | Forum | Review | PDF | Favorites | |
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