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On the Classification of Rational Quantum Tori and the Structure of Their Automorphism Groups

On the Classification of Rational Quantum Tori and the Structure of Their Automorphism Groups

Abstract An n -dimensional quantum torus is a twisted group algebra of the group ℤ n . It is called rational if all invertible commutators are roots of unity. In the present note we describe a normal form for rational n -dimensional quantum tori over any field. Moreover, we show …