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Twisted K-theory for
the orbifold [∗∕G]
Mario Velásquez, Edward Becerra and Hermes Martinez |
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Vol. 264 (2013), No. 2, 471–490
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Abstract |
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The main result of this paper establishes an explicit ring isomorphism between the twisted orbifold K-theory ωKorb([∗∕G]) and R(Dω(G)) for any element ω ∈ Z3(G;S1). We also study the relation between the twisted orbifold K-theories α Korb(𝒳) and α′ Korb(𝒴) of the orbifolds 𝒳 = [∗∕G] and 𝒴 = [∗∕G′], where G and G′ are different finite groups, and α ∈ Z3(G;S1) and α′∈ Z3(G′;S1) are different twistings. We prove that if G′ is an extraspecial group with prime number p as an index and order pn (for some fixed n ∈ ℕ), under a suitable hypothesis over the twisting α′ we can obtain a twisting α on the group (ℤp)n such that there exists an isomorphism between the twisted K-theories α′ Korb([∗∕G′]) and αKorb([∗∕(ℤp)n]). |
Keywords
inverse transgression map, twisted double Drinfeld, twisted
K-theory
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Mathematical Subject Classification 2010
Primary: 19L47, 19L50
Secondary: 20J06, 20C25
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Milestones
Received: 16 May 2012
Revised: 28 November 2012
Accepted: 14 January 2013
Published: 28 July 2013
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Authors |
| Mario Velásquez | |
| Universidad de los Andes Departamento de Matemáticas Carrera 1 No 18A–12 edificio H Bogotá Colombia |
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| Edward Becerra | |
| Department of Mathematics Universidad Nacional de Colombia Carrera 30 Calle 45, Ciudad Universitaria Bogotá Colombia |
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| Hermes Martinez | |
| Escuela de Matemáticas Universidad Sergio Arboleda Calle 74 No. 14–14 Bogotá Colombia |
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