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Morita equivalence of smooth noncommutative tori

George A. Elliott, Hanfeng Li

math.OAarXiv:math/0311502

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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