We show that if X is a toric scheme over a regular commutative ring k then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was previously known for regular commutative rings containing a field. The affine case of our result was conjectured by Gubeladze. We prove analogous results when k is replaced by an appropriate K-regular, not necessarily commutative k-algebra.
CITATION STYLE
Cortiñas, G., Haesemeyer, C., Walker, M. E., & Weibel, C. A. (2018). The k-theory of toric schemes over regular rings of mixed characteristic. In Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday (pp. 455–479). Springer International Publishing. https://doi.org/10.1007/978-3-319-96827-8_19
Mendeley helps you to discover research relevant for your work.