9 citations · 31 across the 10 of their papers we have counts for
10 papers
Periodic Cyclic Homology and Equivariant Gerbes
Jean-Louis Tu, Ping Xu
This paper is our first step in establishing a de Rham model for equivariant twisted -theory using machinery from noncommutative geometry. Let be a compact Lie group, a…
Equivalence of Fell Systems and their Reduced C*-Algebras
El-kaïoum M. Moutuou, Jean-Louis Tu
This paper is aimed at investigating links between Fell bundles over Morita equivalent groupoids and their corresponding reduced C*-algebras. Mainly, we review the notion of Fell p…
The coarse Baum--Connes conjecture and groupoids II
Jean-Louis Tu
Given a (not necessarily discrete) proper metric space with bounded geometry, we define a groupoid . We show that the coarse Baum--Connes conjecture with coefficients, wh…
Twisted K-theory and Poincare duality
Jean-Louis Tu
Using methods of KK-theory, we generalize Poincare duality to the framework of twisted K-theory.
The ring structure for equivariant twisted K-theory
Jean-Louis Tu, Ping Xu
We prove, under some mild conditions, that the equivariant twisted K-theory group of a crossed module admits a ring structure if the twisting 2-cocycle is 2-multiplicative. We also…
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…