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

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.

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

Cited by in corpus (1)

• Twisted K-theory, old and new