On Spin Structures and Dirac Operators on the Noncommutative Torus

Mario Paschke and Andrzej Sitarz

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Submission date: 17. May. 2006
Pages: 15
published in: Letters in mathematical physics, 77 (2006) 3, p. 317-327 
DOI number (of the published article): 10.1007/s11005-006-0094-2
Bibtex
MSC-Numbers: 58B34, 46L87
Keywords and phrases: Noncommutative Geometry, Spin Structures
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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.