We show that in the generic case the smooth noncommutative tori associated with two$n$×$n$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.
Sergey IvashkovichDépartement de Mathématiques, Université Lille ISergey PinchukDepartment of Mathematics, Indiana UniversityJean-Pierre RosayDepartment of Mathematics, University of Wisconsin