Strong Morita equivalence of higher-dimensional noncommutative tori. II

Mathematics – Operator Algebras

Scientific paper

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24 pages. One reference is added

Scientific paper

We show that two C*-algebraic noncommutative tori are strongly Morita
equivalent if and only if they have isomorphic ordered K_0-groups and centers,
extending N. C. Phillips's result in the case that the algebras are simple.
This is also generalized to the twisted group C*-algebras of arbitrary finitely
generated abelian groups.

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