The aim of this paper is to gain explicit information about the multiplicative structure of ℓ_* ℓ, where ℓ is the connective Adams summand at an odd prime p. Our approach differs from Kane's or Lellmann's because our main technical tool is the MU-based Künneth spectral sequence. We prove that the algebra structure on ℓ_* ℓ is inherited from the multiplication on a Koszul resolution of ℓ_* BP.

Tbilisi Mathematical Journal, Vol. 1(2008), pp. 33-70