Geodesic
Strong Morita Equivalence for Heisenberg C*-Algebras and the Positive Cones of Their K 0-Groups
Canadian journal of mathematics, Tome 40 (1988) no. 4, pp. 833-864

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In [14] we began a study of C*-algebras corresponding to projective representations of the discrete Heisenberg group, and classified these C*-algebras up to *-isomorphism. In this sequel to [14] we continue the study of these so-called Heisenberg C*-algebras, first concentrating our study on the strong Morita equivalence classes of these C*-algebras. We recall from [14] that a Heisenberg C*-algebra is said to be of class i, i ∊ {1, 2, 3}, if the range of any normalized trace on its K 0 group has rank i as a subgroup of R; results of Curto, Muhly, and Williams [7] on strong Morita equivalence for crossed products along with the methods of [21] and [14] enable us to construct certain strong Morita equivalence bimodules for Heisenberg C*-algebras. 
Packer, Judith A. Strong Morita Equivalence for Heisenberg C*-Algebras and the Positive Cones of Their K 0-Groups. Canadian journal of mathematics, Tome 40 (1988) no. 4, pp. 833-864. doi: 10.4153/CJM-1988-037-8
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