Noncommutative spectral geometry of Riemannian foliations
نویسنده
چکیده
According to [9, 8], the initial datum of noncommutative differential geometry is a spectral triple (A,H, D) (see Section 3.1 for the definition), which provides a description of the corresponding geometrical space in terms of spectral data of geometrical operators on this space. The purpose of this paper is to construct spectral triples given by transversally elliptic operators with respect to a foliation on a compact manifold and describe its dimension. The first result of the paper is the following theorem:
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