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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 015, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.015 (Mi sigma1097) 		 
Non-Associative Geometry of Quantum Tori

Francesco D'Andreaab, Davide Francob

a Dipartimento di Matematica e Applicazioni, Università di Napoli “Federico II”, Complesso MSA, Via Cintia, 80126 Napoli, Italy
b I.N.F.N. Sezione di Napoli, Complesso MSA, Via Cintia, 80126 Napoli, Italy
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DOI: https://doi.org/10.3842/SIGMA.2016.015
Abstract: We describe how to obtain the imprimitivity bimodules of the noncommutative torus from a “principal bundle” construction, where the total space is a quasi-associative deformation of a $3$-dimensional Heisenberg manifold.
Keywords: noncommutative torus; quasi-Hopf algebras; cochain quantization.
Received: October 2, 2015; in final form February 4, 2016; Published online February 7, 2016
Bibliographic databases:
Document Type: Article
MSC: 58B34; 46L87; 53D55
Language: English
Citation: Francesco D'Andrea, Davide Franco, “Non-Associative Geometry of Quantum Tori”, SIGMA, 12 (2016), 015, 14 pp.
Citation in format AMSBIB
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\paper Non-Associative Geometry of Quantum Tori
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\vol 12
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