Noncommutative Coverings of Quantum Tori
Kay Schwieger, Stefan Wagner
TL;DR
This paper develops a framework for noncommutative coverings and applies it to irrational quantum tori, characterizing all connected coverings within this setting.
Contribution
It introduces a new framework for noncommutative coverings and provides a complete characterization of connected coverings of irrational quantum tori.
Findings
Established a framework for noncommutative coverings.
Characterized all connected coverings of irrational 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.
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