We classify spin structures on the noncommutative torus and find that the noncommutative -torus has spin structures corresponding to isospectral deformations of spin structures on the commutative -torus. For the classification depends on Connes’ spin manifold theorem. In addition, we study unitary equivalences of these spin structures.
Cite this article
Jan Jitse Venselaar, Classification of spin structures on the noncommutative <var>n</var>-torus. J. Noncommut. Geom. 7 (2013), no. 3, pp. 787–816DOI 10.4171/JNCG/135