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On Spin Structures and Dirac Operators on the Noncommutative Torus

Mario Paschke, Andrzej Sitarz

math.QAarXiv:math/0605191

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.

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