Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 12 (2016), 015, 14 pages      arXiv:1509.05347

Non-Associative Geometry of Quantum Tori

Francesco D'Andrea ab and Davide Franco b
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

Received October 02, 2015, in final form February 04, 2016; Published online February 07, 2016

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.

Key words: noncommutative torus; quasi-Hopf algebras; cochain quantization.

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