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Studies on Noncommutative Measure Theory in Kazan University (1968–2018)Studies on Noncommutative Measure Theory in Kazan University (1968–2018)

Bootstrapping non-commutative gauge theories from L∞ algebrasNon-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel

Yang-Baxter σ -models, conformal twists, and noncommutative Yang-Mills theory-matrices implies the existence and planar integrability of the dual NC gauge theory.

Conformal twists, Yang-Baxter σ-models & holographic noncommutativity
noncommutative (NC) gauge theory. Irrespective of whether the deformed background is a solution to supergravity

Probability structures in subspace lattice approach to foundations of quantum theory© 2015, Springer Science+Business Media New York. Noncommutative measure and probability theory

Noncommutative elliptic theory. ExamplesWe study differential operators with coefficients in noncommutative algebras. As an algebra

L1 -space for a positive operator affiliated with von Neumann algebraNoncommutative integration

Некоммутативная геометрия и топология в Московском государственном университетеThe paper outlines the history of the formation of noncommutative geometry at the Faculty

Index of elliptic operators for diffeomorphisms of manifoldsWe develop an elliptic theory for operators associated with a diffeomorphism of a closed smooth

ELLIPTIC THEORY FOR A GENERALIZATION OF NONCOMMUTATIVE TORUSWe consider noncommutative operators of the form of finite linear combinations with coefficients

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