The K-theory of toric varieties in positive characteristic
  We show that if X is a toric scheme over a regular ring containing a field then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affine case of our result was conjectured by Gubeladze. 
Guillermo Corti\~nas, Christian Haesemeyer, Mark E. Walker, Charles A.   Weibel
math.KT math.AG math.AT