Has anyone proved an isomorphsim between the Nil groups of Bass and those of Waldhausen for all n > 1?

07 July 2013 0 913 Report

As matters arising from my joint paper with G. Tang, " Higher K-theory of group-rings of virtually infinite cyclic groups" Math Annalen 325 (2003) 711-725, I am curious to know if anyone has since proved that the Nil groups of Bass and those of Waldhausen are isomorphic for all n > 1. Such an isomorphism is well known for n less than equal to 1 and we used it to show the vanishing of lower Waldhausen nil groups for regular rings.

Article Higher K -theory of group-rings of virtually infinite cyclic groups

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