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Morita equivalence for quantum Heisenberg manifolds

Authors:	Beatriz Abadie

Institution:	Centro de Matemáticas, Facultad de Ciencias, Iguá 4225, CP 11 400, Montevideo, Uruguay

Abstract:	We discuss Morita equivalence within the family $\{D_{\mu\nu}^c: c\in \mathbb{Z} , c>0, \mu,\nu\in\mathbb{R}\}$ of quantum Heisenberg manifolds. Morita equivalence classes are described in terms of the parameters $\mu$ , $\nu$ and the rank of the free abelian group $G_{\mu\nu}=2\mu\mathbb{Z} +2\nu\mathbb{Z} +\mathbb{Z}$ associated to the -algebra $D_{\mu\nu}^{c}$ .

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