  Arone and Lesh constructed and studied spectrum level filtrations that
interpolate between connective (topological or algebraic) K-theory and the
Eilenberg-MacLane spectrum for the integers. In this paper we consider (global)
equivariant generalizations of these filtrations and of another closely related
class of filtrations, the modified rank filtrations of the K-theory spectra
themselves. We lift Arone and Lesh's description of the filtration subquotients
to the equivariant context and apply it to compute algebraic filtrations on
representation rings that arise on equivariant homotopy groups. It turns out
that these representation ring filtrations are considerably easier to express
globally than over a fixed compact Lie group. Furthermore, they have formal
similarities to the filtration on Burnside rings induced by the symmetric
products of spheres, which was computed by Schwede.
