Strong Morita equivalence of higher-dimensional noncommutative tori. II

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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.
24 pages. One reference is added

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Operator Algebras, K-Theory and Homology, Quantum Algebra, 46L87;58B34

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http://salesiana.dossiersoluciones.com/handle/123456789/73752

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501030
 http://arxiv.org/abs/math/0501030

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arXiv