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

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].

arXiv comment12 pages. Comments welcome

References in corpus (1)

• On the algebraic K-theory of truncated polynomial algebras in several variables

Cited by in corpus (2)

• Assembly maps for topological cyclic homology of group algebras
• Picard groups and the K-theory of curves with cuspidal singularities