Abstract
In this paper, we continue the study of spectral properties of Laplacians associated with an arbitrary smooth distribution on a compact manifold started in a previous paper. Under the assumption that the singular foliation generated by the distribution is smooth, we prove that the Laplacian associated with the distribution defines an unbounded, regular, self-adjoint operator in some Hilbert module over the C*-algebra of the foliation.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 152, Mathematical Physics, 2018.
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Kordyukov, Y.A. Laplacians on Smooth Distributions as C*-Algebra Multipliers. J Math Sci 252, 190–212 (2021). https://doi.org/10.1007/s10958-020-05153-w
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DOI: https://doi.org/10.1007/s10958-020-05153-w