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

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We study the relationship between the twisted Orbifold K-theories αKorb(X) and α'Korb(Y) for two different twists α∈ Z³(G;S¹) and α'∈ Z³(G';S¹) of the Orbifolds X=[*/G] and Y=[*/G'] respectively, for G and G' finite groups. We prove that under suitable hypothesis over the twisting α' and the group G' we obtain an isomorphism between these twisted K-theories.