Classification of spin structures on the noncommutative n-torus
Operator Algebras
2011-12-30 v4 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We classify spin structures on the noncommutative torus, and find that the noncommutative n-torus has 2^n spin structures, corresponding to isospectral deformations of spin structures on the commutative n-torus. For n>3 the classification depends on Connes' spin manifold theorem. In addition, we study unitary equivalences of these spin structures.
Keywords
Cite
@article{arxiv.1003.5156,
title = {Classification of spin structures on the noncommutative n-torus},
author = {Jan Jitse Venselaar},
journal= {arXiv preprint arXiv:1003.5156},
year = {2011}
}
Comments
Version accepted for publication in Journal of Noncommutative Geometry. Revised irreducibility condition