We consider a filtration of the K-theory space for a regular noetherian ring
proposed by Goodwillie and Lichtenbaum and show that its successive quotients
are geometric realizations of explicit simplicial abelian groups. The
filtration in weight t involves t-tuples of commuting automorphisms of
projective R-modules. It remains to show that the Adams operations act
appropriately on the filtration.
Addendum: this paper has appeared in K-theory 9 (1995) 139-172.