On Spin Structures and Dirac Operators on the Noncommutative Torus
Mario Paschke and Andrzej Sitarz
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Submission date: 17. May. 2006
published in: Letters in mathematical physics, 77 (2006) 3, p. 317-327
DOI number (of the published article): 10.1007/s11005-006-0094-2
MSC-Numbers: 58B34, 46L87
Keywords and phrases: Noncommutative Geometry, Spin Structures
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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.