## Mathematics, Department of

#### Title

The K-theory of toric varieties in positive characteristic

#### Date of this Version

2014

#### Citation

From arXiv.org > math > arXiv:1207.2891 http://arxiv.org/abs/1207.2891

(Submitted on 12 Jul 2012)

Published in *Journal of Topology* 7 (2014) 247–286; doi: 10.1112/jtopol/jtt026

First published online: August 6, 2013

#### Abstract

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.

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## Comments

Copyright 2013 London Mathematical Society.