University of Toronto's Symplectic Geometry Seminar

April 10, 2006, 2:10pm
Bahen 6183

Ping Xu

Penn State

Chern character for twisted K-theory of orbifolds


For an orbifold $X$ and $\alpha \in H^3(X,Z)$, we introduce the twisted cohomology $H^*_c(X, \alpha)$ and prove that the non-commutative Chern character of Connes-Karoubi establishes an isomorphism between the twisted K-groups $K_\alpha^*(X) \otimes C$ and the twisted cohomology $H^*_c(X, \alpha)$.