Abstract
From an odd prime p, let l be the Adams Summand of p-local connective K-theory and A (1) the subalgebra of the mod p Steenrod algebra generated by Q 0 and the first Steenrod power P 1. The algebra A (1) is an explicitly understood Hopf algebra over F p of F p -dimension 4 p. The mod p homology H ∗(l) of l is a tensor product of a polynomial algebra on countably many generators with an exterior algebra on countably many generators. We describe H ∗(l) as an A (1)-module.
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