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Morita equivalence of smooth noncommutative tori

George A. Elliott·Hanfeng Li
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Abstract

We show that in the generic case the smooth noncommutative tori associated to two n by n real skew-symmetric matrices are Morita equivalent if and only if the matrices are in the same orbit of the natural SO(n, n| Z) action.

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George A. Elliott, Hanfeng Li. 2006-07-10. Morita equivalence of smooth noncommutative tori. https://arxiv.org/abs/math/0311502

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