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arXiv · 1710.10119

Laplacians on smooth distributions as $C^*$-algebra multipliers

Yuri A. Kordyukov
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Abstract

In this paper we continue the study of spectral properties of Laplacians associated with an arbitrary smooth distribution on a compact manifold, initiated in a previous paper. Under 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 foliation $C^*$-algebra.

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Yuri A. Kordyukov. 2017-10-27. Laplacians on smooth distributions as $C^*$-algebra multipliers. https://doi.org/10.1007/s10958-020-05153-w

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