Uniqueness of $E_\infty$ structures for connective covers

dc.creatorBaker, Andrew
dc.creatorRichter, Birgit
dc.date2005-06-21
dc.date2006-05-26
dc.date.accessioned2026-07-07T06:42:29Z
dc.date.available2026-07-07T06:42:29Z
dc.descriptionWe 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<n> and propose c(E_n) as an E-infinity approximation to the latter.
dc.descriptionRevised version
dc.identifierhttps://arxiv.org/abs/math/0506422
dc.identifierhttp://arxiv.org/abs/math/0506422
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102059
dc.subjectAlgebraic Topology
dc.subject55P43; 55N15
dc.titleUniqueness of $E_\infty$ structures for connective covers
dc.typetext

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