Geodesic
FRAMES IN HILBERT C*-MODULES AND MORITA EQUIVALENT C*-ALGEBRAS
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 1-10

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DOI

We show that the property of a C*-algebra that all its Hilbert modules have a frame, in the case of σ-unital C*-algebras, is preserved under Rieffel–Morita equivalence. In particular, we show that a σ-unital continuous-trace C*-algebra with trivial Dixmier–Douady class, all of whose Hilbert modules admit a frame, has discrete spectrum. We also show this for the tensor product of any commutative C*-algebra with the C*-algebra of compact operators on any Hilbert space. 
AMINI, MASSOUD; ASADI, MOHAMMAD B.; ELLIOTT, GEORGE A.; KHOSRAVI, FATEMEH. FRAMES IN HILBERT C*-MODULES AND MORITA EQUIVALENT C*-ALGEBRAS. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 1-10. doi: 10.1017/S0017089516000355
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     title = {FRAMES {IN} {HILBERT} {C*-MODULES} {AND} {MORITA} {EQUIVALENT} {C*-ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {1--10},
     year = {2017},
     volume = {59},
     number = {1},
     doi = {10.1017/S0017089516000355},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000355/}
}
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%A ASADI, MOHAMMAD B.
%A ELLIOTT, GEORGE A.
%A KHOSRAVI, FATEMEH
%T FRAMES IN HILBERT C*-MODULES AND MORITA EQUIVALENT C*-ALGEBRAS
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