The K-theory of toric varieties in positive characteristic
Date of this Version
Published in Journal of Topology 7 (2014) 247–286; doi: 10.1112/jtopol/jtt026
First published online: August 6, 2013
We show that if X is a toric scheme over a regular ring containing a field of finite characteristic, then the direct limit of the K-groups of X taken over any infinite sequence of non-trivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affine case of our result was conjectured by Gubeladze.