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Quantum tori are limits of finite dimensional C*-algebras for the quantumGromov-Hausdorff propinquity, a metric defined by the author as a strengtheningof Rieffel's quantum Gromov-Hausdorff designed to retain the C*-algebraicstructure. In this paper, we propose a proof of the continuity of the family ofquantum and fuzzy tori which relies on explicit representations of theC*-algebras rather than on more abstract arguments, in a manner which takesfull advantage of the notion of bridge defining the quantum propinquity.

Convergence of Fuzzy Tori and Quantum Tori for the quantum Gromov-Hausdorff Propinquity: an explicit approach