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  It\^o Calculus on the Noncommutative Torus

Material Type Article
Text

​​​​​In this paper we study It\^o calculus on the noncommutative torus, by using

the idea of the deformation together with the noncommutative relations. Using

 a standard differential structure for the noncommutative torus, we use a purely

 algebraic deformation theory, which in the classical case would give a differential

 graded algebra including the classical It\^o formulae​.

Author Ghaliah Alhamzi
Release Date 04/05/1437
Source Female Study Centre – Science Department
Publishers Springer