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Morita equivalence for quantum Heisenberg manifolds

Authors:	Beatriz Abadie

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

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

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