English

On Quillen's calculation of graded $K$-theory

K-Theory and Homology 2014-10-17 v1

Abstract

We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This in turn allows us to use inductions and calculate graded K-theory of Z^m-graded rings. Here Z is the ring of integers and N positive natural numbers.

Keywords

Cite

@article{arxiv.1103.6132,
  title  = {On Quillen's calculation of graded $K$-theory},
  author = {R. Hazrat and T. Huettemann},
  journal= {arXiv preprint arXiv:1103.6132},
  year   = {2014}
}