@article {Dimakis:November 1998:0011-4626:1319, author = "Dimakis A.", author = "Muller-Hoissen F.", title = "Noncommutative geometry and a class of completely integrable models", journal = "Czechoslovak Journal of Physics", volume = "48", year = "November 1998", abstract = "
We introduce a Hodge operator in a framework of noncommutative geometry. The complete integrability of 2-dimensional classical harmonic maps into groups (
-models or principal chiral models) is then extended to a class of noncommutative harmonic maps into matrix algebras.