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Trudy Moskovskogo Matematicheskogo Obshchestva, 2020, Volume 81, Issue 2, Pages 145–203
(Mi mmo639)
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This article is cited in 1 scientific paper (total in 1 paper)
Applications of noncommutative geometry in function theory and mathematical physics
A. G. Sergeev Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract:
We review some applications of noncommutative geometry to function theory and mathematical physics. In the first case we discuss relations between the spaces of real variables and operator algebras. In the second case we deal with quantization of universal Techmüller space and quantum Hall effect.
Key words and phrases:
operator calculus, Shatten–von Neumann classes,
quantization of the universal Teichmüller space, quantum Hall effect.
Received: 11.04.2020 Revised: 29.04.2020
Citation:
A. G. Sergeev, “Applications of noncommutative geometry in function theory and mathematical physics”, Tr. Mosk. Mat. Obs., 81, no. 2, MCCME, M., 2020, 145–203; Trans. Moscow Math. Soc., 81:2 (2020), 123–167
Linking options:
https://www.mathnet.ru/eng/mmo639 https://www.mathnet.ru/eng/mmo/v81/i2/p145
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Statistics & downloads: |
Abstract page: | 309 | Full-text PDF : | 101 | References: | 36 | First page: | 15 |
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