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On Spin Structures and Dirac Operators on the Noncommutative Torus

arXiv:math/0605191 · doi:10.1007/s11005-006-0094-2

Abstract

We find and classify possible equivariant spin structures with Dirac operators on the noncommutative torus, proving that similarly as in the classical case the spectrum of the Dirac operator depends on the spin structure.

LaTeX, 13 pages