Geodesic
Explicit equivalence bimodules for rotation algebras
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part X, Tome 307 (2004), pp. 175-188 
H. Narnhofer. Explicit equivalence bimodules for rotation algebras. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part X, Tome 307 (2004), pp. 175-188. http://geodesic.mathdoc.fr/item/ZNSL_2004_307_a5/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

$C^*$-algebras associated with irrational rotations are Morita equivalent iff the rotation parameters belong to the same orbit under the action of $GL(2,Z)$. In this note we offer explicit type II representations such that the bimodule is dense in the corresponding Hilbert space.

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