A discrete model of the integer quantum Hall effect is analysed via its associated C*-algebra. The relationship with the usual continuous models is established by viewing the observable algebras of each as both twisted group C*-algebras and twisted cross products. A Fredholm module for the discrete model is presented, and its Chern character is calculated.
Cite this article
Paul J. McCann, Alan L. Carey, A Discrete Model of the Integer Quantum Hall Effect. Publ. Res. Inst. Math. Sci. 32 (1996), no. 1, pp. 117–156DOI 10.2977/PRIMS/1195163182