Twisted K-Theory for the Orbifold [*/G]

Abstract: We study the relationship between the twisted Orbifold K-theories ${<sup>{\alpha}}K_{orb}(\textsl{X})$ and ${<sup>{\alpha&#39;}}K_{orb}(\textsl{Y})$ for two different twists $\alpha\in Z<sup>3(G;S<sup>1)$ and $\alpha&#39;\in Z<sup>3(G&#39;;S<sup>1)$ of the Orbifolds $\textsl{X}=[<em>/G]$ and $\textsl{Y}=[</em>/G&#39;]$ respectively, for $G$ and $G&#39;$ finite groups. We prove that under suitable hypothesis over the twisting $\alpha&#39;$ and the group $G&#39;$ we obtain an isomorphism between these twisted K-theories.