Strong Morita equivalence of higher-dimensional noncommutative tori

Details Strong Morita equivalence of higher-dimensional noncommutative tori Strong Morita equivalence of higher-dimensional noncommutative tori

2003-03-11

arxiv.org/abs/math/0303123v2

J. Reine Angew. Math. 576 (2004), 167--180

Mathematics

Operator Algebras

12 pages, minor improvements. To appear in J. Reine Angew. Math

Scientific paper

We show that matrices in the same orbit of the SO(n, n|Z) action on the space
of n\times n skew-symmetric matrices give strong Morita equivalent
noncommutative tori, both at the C*-algebra level and at the smooth algebra
level. This proves a conjecture of Rieffel and Schwarz.

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