Morita equivalence of smooth noncommutative tori

Details Morita equivalence of smooth noncommutative tori Morita equivalence of smooth noncommutative tori

2003-11-27

arxiv.org/abs/math/0311502v4

Acta Math. 199 (2007), 1--27.

Mathematics

Operator Algebras

27 pages. Final version. To appear in Acta Math

Scientific paper

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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