@article {11480, title = {The analytic index of elliptic pseudo differential operators on a singular foliation}, journal = {J. K-theory}, volume = {8}, year = {2011}, pages = {363{\textendash}385}, 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 from an {\textquotedblleft}adiabatic foliation{\textquotedblright}\ \ on\ M{\texttimes}ℝ, which we introduce here.}, url = {https://www.cambridge.org/core/journals/journal-of-k-theory/article/analytic-index-of-elliptic-pseudodifferential-operators-on-a-singular-foliation/335714E40F03FD0D093A2D4D5F25E3EB}, author = {Iakovos Androulidakis and Georges Skandalis} }