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Strong Morita equivalence of higher-dimensional noncommutative tori

Hanfeng Li
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Abstract

We show that matrices in the same orbit of the SO(n, n|Z) action on the space of n\times n skew-symmetric matrices give strong Morita equivalent noncommutative tori, both at the C*-algebra level and at the smooth algebra level. This proves a conjecture of Rieffel and Schwarz.

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Hanfeng Li. 2004-01-20. Strong Morita equivalence of higher-dimensional noncommutative tori. https://arxiv.org/abs/math/0303123

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