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

Abstract

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

version accepted in Pacific Journal of Mathematics

References in corpus (4)

• Twisted Orbifold K-Theory
• On the Gauge Equivalence of Twisted Quantum Doubles of Elementary Abelian and Extra-Special 2-Groups
• Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups
• The twisted Drinfeld double of a finite group via gerbes and finite groupoids