English

The RO(G)-graded coefficients of (Z/2)^n-equivariant K-theory

K-Theory and Homology 2007-05-23 v2

Abstract

In this note, we calculate all untwisted and twisted (Z/2)^n-equivariant K-groups with compact supports of real finite-dimensional linear representations of (Z/2)^n. The question was motivated by the question of D-brane charges for orbifold type II string vacua.

Keywords

Cite

@article{arxiv.math/0609067,
  title  = {The RO(G)-graded coefficients of (Z/2)^n-equivariant K-theory},
  author = {Po Hu and Igor Kriz},
  journal= {arXiv preprint arXiv:math/0609067},
  year   = {2007}
}

Comments

While we make some new observations in the present note, it came to our attention since posting the first version that the main result can be alternately deduced from a much more general theorem of Max Karoubi