Gauge theory solitons on the noncommutative cylinder

The solution-generating technique originally suggested for gauge theories on the noncommutative plane is generalized to the noncommutative cylinder. For this, we construct partial isometry operators and a complete set of orthogonal projection operators in the algebra A(C) of the cylinder, and an isomorphism between the free module A(C) and its direct sum A(C) circle plus F-C with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.