Type: Inproceedings

On NK0 of the group of quaternions

Juan-Pineda, Daniel;

Book Title: K-theory in Algebra, Analysis and Topology

Editor: Guillermo Cortiñas; Charles a. Weibel

Abstract:

Let Q(8) be the group of quaternions. We make a slight improvement on the calculation of the group NK0(Z[Q(8)]). We have in [GJM Proposition 52] an ambiguity about the possible values of this group. We solve this and prove that NK0(Z[Q(8)]) is isomorphic to an infinite direct sum of copies of Z/2.