5 citations · 9 across the 5 of their papers we have counts for
5 papers
Chern character for twisted K-theory of orbifolds
Jean-Louis Tu, Ping Xu
For an orbifold X and , we introduce the twisted cohomology and prove that the Connes-Chern character establishes an isomorphism between the twisted K…
Groupoid cohomology and extensions
Jean-Louis Tu
We show that Haefliger's cohomology for etale groupoids, Moore's cohomology for locally compact groups and the Brauer group of a locally compact groupoid are all particular cases o…
Non-Hausdorff groupoids, proper actions and K-theory
Jean-Louis Tu
Let G be a (not necessarily Hausdorff) locally compact groupoid. We introduce a notion of properness for G, which is invariant under Morita-equivalence. We show that any generalize…
Chern-Weil map for principal bundles over groupoids
Camille Laurent-Gengoux, Jean-Louis Tu, Ping Xu
The theory of principal -bundles over a Lie groupoid is an important one, unifying the various types of principal -bundles, including those over manifolds, those over orbifol…
Twisted K-theory of differentiable stacks
Jean-Louis Tu, Ping Xu, Camille Laurent-Gengoux
In this paper, we develop twisted -theory for stacks, where the twisted class is given by an -gerbe over the stack. General properties, including the Mayer-Vietoris propert…