Noncommutative Coverings of Quantum Tori

2017/10/25 by Schwieger, Kay, Wagner, Stefan · 1 citation
#14A20 (secondary) #14F35 (primary) #46L85 #55R10 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1710.09396

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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• Noncommutative principal bundles and central extensions

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