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The Noncommutative Geometry Generalization of Fundamental Group

Petr R. Ivankov·Nickolay P. Ivankov
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Abstract

A notion of fundamental group of spectral triples has been introduced. The notion uses a noncommutative analogue of unramified coverings. It was shown that in commutative case this fundamental group is a profinite completion of fundamental group of corresponding Riemann manifold.

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Petr R. Ivankov, Nickolay P. Ivankov. 2006-04-24. The Noncommutative Geometry Generalization of Fundamental Group. https://arxiv.org/abs/math/0604508

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