Morita equivalence for quantum Heisenberg manifolds

Abadie, Beatriz

doi:10.1090/S0002-9939-05-07890-1

Morita equivalence for quantum Heisenberg manifolds
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Proc. Amer. Math. Soc. 133 (2005), 3515-3523 Request permission

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 $C^*$-algebra $D_{\mu \nu }^{c}$.

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