Abstract
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.
Funding Statement
This research was supported by a grant from the Natural Sciences and Engineering Research Council of Canada, held by the first named author.
Citation
George A. Elliott. Hanfeng Li. "Morita equivalence of smooth noncommutative tori." Acta Math. 199 (1) 1 - 27, 2007. https://doi.org/10.1007/s11511-007-0017-9
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