Abstract :
The three-dimensional Chern–Simons theory on R2θ×R is studied. Considering the gauge transformations under the group elements which are going to one at infinity, we show that under arbitrary (finite) gauge transformations action changes with an integer multiple of 2π if, the level of noncommutative Chern–Simons is quantized. We also briefly discuss the case of the noncommutative torus and some other possible extensions.
