The topological K-theory of crystallographic groups with holonomy $\mathbb{Z}/2$

In this note we present a complete computation of the topological K-theory of the reduced C*-algebra of a semidirect product of the form $Γ=\mathbb{Z}^n\rtimes_ρ\mathbb{Z}/2$ with no further assumptions about of the conjugacy action $ρ$. For this, we use some results for $\mathbb{Z}/2$-equivariant K-theory proved by Rosenberg and previous results of Davis and Luck when the conjugacy action $ρ$ is free outside the origin.

No reviews yet.

No comments yet.