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

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

2012-03-28

arxiv.org/abs/1203.6383v1

Mathematics

Algebraic Topology

15 pages

Scientific paper

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

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