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Strong Morita Equivalence for Heisenberg C*-Algebras and the Positive Cones of Their K0-Groups

Published online by Cambridge University Press:  20 November 2018

Judith A. Packer
Judith A. Packer*
Affiliation:
National University of Singapore, Singapore, Republic of Singapore
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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 K0 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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 40 , Issue 4 , 01 August 1988 , pp. 833 - 864
Copyright
Copyright © Canadian Mathematical Society 1988

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