Summary
We construct spectral triples in a sense of noncommutative differential geometry, associated with a Riemannian foliation on a compact manifold, and describe its dimension spectrum.
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Kordyukov, Y.A. Noncommutative spectral geometry of riemannian foliations. Manuscripta Math 94, 45–73 (1997). https://doi.org/10.1007/BF02677838
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DOI: https://doi.org/10.1007/BF02677838