Ideals in Hilbert modules and invariants under strong Morita equivalence ofC *-algebras

1982 ◽  
Vol 39 (1) ◽  
pp. 69-77 ◽  
Author(s):  
Heinrich H. Zettl
Keyword(s):  
Morita Equivalence ◽  
Hilbert Modules ◽  
Strong Morita Equivalence

scholarly journals Stable isomorphism and strong Morita equivalence ofC∗-algebras

1977 ◽  
Vol 71 (2) ◽  
pp. 349-363 ◽  
Author(s):  
Lawrence Brown ◽  
Philip Green ◽  
Marc Rieffel
Keyword(s):  
Morita Equivalence ◽  
Strong Morita Equivalence

Strong Morita Equivalence for Heisenberg C*-Algebras and the Positive Cones of Their K 0-Groups

1988 ◽  
Vol 40 (04) ◽  
pp. 833-864 ◽  
Author(s):  
Judith A. Packer
Keyword(s):  
Heisenberg Group ◽  
Morita Equivalence ◽  
Equivalence Classes ◽  
Crossed Products ◽  
C Algebras ◽  
Projective Representations ◽  
Discrete Heisenberg Group ◽  
Strong Morita Equivalence

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.

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