A local ring such that the map between Grothendieck groups with rational coefficient induced by completion is not injective

Kazuhiko Kurano, Vasudevan Srinivas

In this paper, we construct a local ring $A$ such that the kernel of the map $G_0(A)\subq \to G_0(\hat{A})\subq$ is not zero, where $\hat{A}$ is the comletion of $A$ with respect t…