Morita equivalence for quantum Heisenberg manifolds
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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 $D_{\mu \nu }^{c}$.References
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Additional Information
- Beatriz Abadie
- Affiliation: Centro de Matemáticas, Facultad de Ciencias, Iguá 4225, CP 11 400, Montevideo, Uruguay
- Email: abadie@cmat.edu.uy
- Received by editor(s): November 21, 2003
- Received by editor(s) in revised form: July 6, 2004
- Published electronically: June 6, 2005
- Additional Notes: This work was partially supported by Dinacyt (Proyecto Clemente Estable 8013), Uruguay.
- Communicated by: David R. Larson
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 3515-3523
- MSC (2000): Primary 46L65; Secondary 46L08
- DOI: https://doi.org/10.1090/S0002-9939-05-07890-1
- MathSciNet review: 2163586