Carey, AlanWang, Bai-LingMickelsson, Jouko Armas2015-12-070393-0440http://hdl.handle.net/1885/27372In this paper, we develop differential twisted K-theory and define a twisted Chern character on twisted K-theory which depends on a choice of connection and curving on the twisting gerbe. We also establish the general Riemann-Roch theorem in twisted K-theory and find some applications in the study of twisted K-theory of compact simple Lie groups.Keywords: Chern character; D-brane charges; Differential twisted K-theory200910.1016/j.geomphys.2009.02.0022016-02-24