Noncommutative structures

  • D. V. Treschev


We propose a method for constructing noncommutative analogs of objects from classical calculus, differential geometry, topology, dynamical systems, etc. The standard (commutative) objects can be obtained from noncommutative ones by natural projections (a set of canonical homomorphisms). The approach is ideologically close to the noncommutative geometry of A. Connes but differs from it in technical details.


Vector Bundle STEKLOV Institute Compatibility Condition Associative Algebra Smooth Manifold 
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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Steklov Institute of MathematicsRussian Academy of SciencesMoscowRussia

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