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On Spin Structures and Dirac Operators on the Noncommutative Torus |
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| Authors: | Mario Paschke Andrzej Sitarz |
| Affiliation: | 1. Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstr. 22, 04103, Leipzig, Germany 2. Institute of Physics, Jagiellonian University, Reymonta 4, 30-059, Kraków, Poland 3. Mathematisches Institut, Heinrich-Heine-Universit?t, Universit?tsstrasse 1, 40225, Düsseldorf, Germany |
| 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. |
| Keywords: | spectral geometry noncommutative geometry |
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