论文标题
具有载体的晶体学组的拓扑K理论$ \ mathbb {z}/2 $
The topological K-theory of crystallographic groups with holonomy $\mathbb{Z}/2$
论文作者
论文摘要
在本说明中，我们介绍了$γ= \ mathbb {z}^n \rtimes_ρ\ mathbb {z}/2 $的半程c* - 代数的拓扑K理论的完整计算。为此，我们使用$ \ mathbb {z}/2 $ - equivariant K理论的一些结果，当时Rosenberg证明了Davis和Luck先前的结果，当时的共轭动作$ρ$是免费的。
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.
