2012/03/31 by Mario Velásquez, Edward Becerra, Hermes Martinez +1
Mathematics · #Algebraic Geometry and Number Theory #Cyclic group #Finite group #Geometric and Algebraic Topology #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #Orbifold #math.AT #math.KT #math.RT
paper · pdf · doi:10.2140/pjm.2013.264.471
published as Pacific J. Math. 264 (2013) 471-490 · version accepted in Pacific Journal of Mathematics
arxiv created 2013/02/06 · openalex publication_date 2013/07/28 · arxiv updated 2016/01/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.