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Strong Morita equivalence of higher-dimensional noncommutative tori. II

George A. Elliott·Hanfeng Li
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Abstract

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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George A. Elliott, Hanfeng Li. 2005-02-08. Strong Morita equivalence of higher-dimensional noncommutative tori. II. https://arxiv.org/abs/math/0501030

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