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Finite real spectral triples are defined to characterise the non-commutative geometry of a fuzzy torus.
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D’Andrea, Francesco, et al. “Modules Over the Noncommutative Torus and Elliptic Curves.”, Letters in Mathematical Physics, vol. 104, no. 11, Nov. 2014, pp. 1425–43. DOI.org (Crossref), https://doi.org/10.1007/s11005-014-0718-x
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J. W. Barrett, “Matrix geometries and fuzzy spaces as finite spectral triples,” J. Math. Phys. 56
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J. M. Gracia-Bondía, J. C. Varilly, H. Figueroa, “Elements of Noncommutative Geometry,” Birkhäuser Basel, 2001, XVIII, 686, doi: 10.1007/978-1-4612-0005-5
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M. Paschke and A. Sitarz, “On Spin Structures and Dirac Operators on the Noncommutative Torus,” Lett. Math. Phys. 77
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J. W. Barrett “Non-commutative spectral triples for space-time.” In: Mathematisches Forschungsinstitut Oberwolfach Report No. 32/2018 Non-commutative Geometry, Index Theory and Mathematical Physics, 8–14 July 2018 eds. A. Connes, R. Nest, T. Schick and G. Yu. 43–45 DOI: 10.4171/OWR/2018/32
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2019
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J. Gaunt, “Aspects of the noncommutative torus”. PhD thesis, University of Nottingham. (2019) http://eprints.nottingham.ac.uk/56288/
2019
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