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Noncommutative Coverings of Quantum Tori

Operator Algebras 2025-12-24 v1 Mathematical Physics Differential Geometry math.MP

Abstract

We introduce a framework for coverings of noncommutative spaces. Moreover, we study noncommutative coverings of irrational quantum tori and characterize all such coverings that are connected in a reasonable sense.

Keywords

Cite

@article{arxiv.1710.09396,
  title  = {Noncommutative Coverings of Quantum Tori},
  author = {Kay Schwieger and Stefan Wagner},
  journal= {arXiv preprint arXiv:1710.09396},
  year   = {2025}
}