Email this article Noncommutative Geometry and Analysis
- Authors: Sergeev A.G.1
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Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Issue: Vol 236, No 6 (2019)
- Pages: 641-662
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242281
- DOI: https://doi.org/10.1007/s10958-018-4137-x
- ID: 242281
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Abstract
One of the main problems of noncommutative geometry is the translation of fundamental notions of analysis, topology, and differential geometry onto the language of Banach algebras. In this paper, we present a number of results of this kind focusing the attention on the noncommutative interpretation of the notions of differential and integral. Our presentation is based on the monographs Noncommutative Geometry by A. Connes and Elements of Noncommutative Geometry by J. M. Gracia-Bondia, J. C. Varilly, and H. Figueroa.
About the authors
A. G. Sergeev
Steklov Mathematical Institute of the Russian Academy of Sciences
Author for correspondence.
Email: sergeev@mi.ras.ru
Russian Federation, Moscow
