Geodesic
Applications of noncommutative geometry in function theory and mathematical physics
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 81 (2020) no. 2, pp. 145-203

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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. 
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A. G. Sergeev. Applications of noncommutative geometry in function theory and mathematical physics. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 81 (2020) no. 2, pp. 145-203. http://geodesic.mathdoc.fr/item/MMO_2020_81_2_a0/