Noncommutative Coverings of Quantum Tori

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.

References in corpus (4)

• Freeness of actions of finite groups on C*-algebras
• Quantization of noncompact coverings
• Non-commutative coverings spaces
• Part III, Free Actions of Compact Quantum Groups on C*-Algebras

Cited by in corpus (3)

• Lifting spectral triples to noncommutative principal bundles
• An Atiyah Sequence for Noncommutative Principal Bundles
• Noncommutative Geometry of Quantized Coverings