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A Glimpse of Noncommutative Geometry

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Geometric Methods in Physics XXXVI

Part of the book series: Trends in Mathematics ((TM))

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Abstract

We present a short introduction to noncommutative geometry and spectral triples. We start the journey with C* algebras and noncommutative differential, briefly mentioning K-theory, K-homology and cyclic (co)homology to finish with the notion of spectral triples, their benefits and examples.

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Correspondence to Andrzej Sitarz .

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Sitarz, A. (2019). A Glimpse of Noncommutative Geometry. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVI. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01156-7_41

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