A Stong-Hattori spectral sequence

Abstract

Let G ∗ ( ) {G_ \ast }(\;) be the Adams summand of connective K-theory localized at the prime p. Let B P ∗ ( ) B{P_\ast }(\;) be Brown-Peterson homology for that prime. A spectral sequence is constructed with E 2 {E^2} term determined by G ∗ ( X ) {G_ \ast }(X) and whose E ∞ {E^\infty } terms give the quotients of a filtration of B P ∗ ( X ) B{P_ \ast }(X) where X is a connected spectrum. A torsion property of the differentials implies the Stong-Hattori theorem.