Chern character for twisted K-theory of orbifolds

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dc.creatorTu, Jean-Louis
dc.creatorXu, Ping
dc.date2005-05-12
dc.date2005-12-03
dc.date.accessioned2026-07-07T06:39:56Z
dc.date.available2026-07-07T06:39:56Z
dc.descriptionFor an orbifold X and $α\in H^3(X, Z)$, we introduce the twisted cohomology $H^*_c(X, α)$ and prove that the Connes-Chern character establishes an isomorphism between the twisted K-groups $K_α^* (X) \otimes C$ and twisted cohomology $H^*_c(X, α)$. This theorem, on the one hand, generalizes a classical result of Baum-Connes, Brylinski-Nistor, and others, that if X is an orbifold then the Chern character establishes an isomorphism between the K-groups of X tensored with C, and the compactly-supported cohomology of the inertia orbifold. On the other hand, it also generalizes a recent result of Adem-Ruan regarding the Chern character isomorphism of twisted orbifold K-theory when the orbifold is a global quotient by a finite group and the twist is a special torsion class, as well as Mathai-Stevenson's theorem regarding the Chern character isomorphism of twisted K-theory of a compact manifold.
dc.description26 pages. To appear in Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/math/0505267
dc.identifierhttp://arxiv.org/abs/math/0505267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101267
dc.subjectK-Theory and Homology
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectOperator Algebras
dc.subject19L10 (Primary) 46L87, 46L80 (Secondary)
dc.titleChern character for twisted K-theory of orbifolds
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