The analytic index of elliptic pseudodifferential operators on a singular foliation
The analytic index of elliptic pseudodifferential operators on a singular foliation
Abstract In previous papers ([1, 2]) we defined the C *-algebra and the longitudinal pseudodifferential calculus of any singular foliation ( M , ). In the current paper we construct the analytic index of an elliptic operator as a KK -theory element, and prove that this element can be obtained …