@article {11477, title = {Laplacians and spectrum for singular foliations}, journal = {Chin. Ann. Math. Ser. B}, volume = {35}, year = {2014}, pages = {679-690}, abstract = {The author surveys Connes{\textquoteright} results on the longitudinal Laplace operator along a (regular) foliation and its spectrum, and discusses their generalization to any singular foliation on a compact manifold. Namely, it is proved that the Laplacian of a singular foliation is an essentially self-adjoint operator (unbounded) and has the same spectrum in every (faithful) representation, in particular, in\ L2\ of the manifold and\ L2\ of a leaf. The author also discusses briefly the relation of the Baum-Connes assembly map with the calculation of the spectrum.}, url = {https://link.springer.com/article/10.1007\%2Fs11401-014-0858-4}, author = {Iakovos Androulidakis} }