What is the definition of “quantum tori”?

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I have learned that the non-commutative torus (2-dimensional) is $\mathcal{A}_\theta$. But now I'm going to read the paper written by Mania, which shows the equivalence of $\mathcal{QT}$ and $\mathcal{PL}$. I don't know the direct, correct definition of the category of 2-dimensional quantum tori. Can anyone please tell me what it is?

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