English

On the K-theory of truncated polynomial rings in non-commuting variables

K-Theory and Homology 2017-05-17 v1 Algebraic Geometry Algebraic Topology

Abstract

We compute the algebraic K-theory of the non-commutative ring k<x_1,...,x_n>/(m^a) when k is a perfect field of positive characteristic and m=(x_1,...,x_n). We express the answer in terms of the truncation poset Witt vectors developed in [1].

Keywords

Cite

@article{arxiv.1409.4157,
  title  = {On the K-theory of truncated polynomial rings in non-commuting variables},
  author = {Vigleik Angeltveit},
  journal= {arXiv preprint arXiv:1409.4157},
  year   = {2017}
}

Comments

12 pages. Comments welcome