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- Title
Noncommutative Geometry and Analysis.
- Authors
Sergeev, A. G.
- 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.
- Subjects
NONCOMMUTATIVE algebras; PROBLEM solving; DIFFERENTIAL geometry; INTEGRALS; NONCOMMUTATIVE function spaces
- Publication
Journal of Mathematical Sciences, 2019, Vol 236, Issue 6, p641
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-018-4137-x