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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
49/2006

On Spin Structures and Dirac Operators on the Noncommutative Torus

Mario Paschke and Andrzej Sitarz

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.

Received:
May 17, 2006
Published:
May 17, 2006
MSC Codes:
58B34, 46L87
Keywords:
Noncommutative Geometry, Spin Structures

Related publications

inJournal
2006 Repository Open Access
Mario Paschke and Andrzej Sitarz

On spin structures and dirac operators on the noncommutative torus

In: Letters in mathematical physics, 77 (2006) 3, pp. 317-327