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math.OA2008
Isomorphism of Hilbert modules over stably finite C*-algebras
Nathanial P. Brown, Alin Ciuperca
It is shown that if A is a stably finite C*-algebra and E is a countably generated Hilbert A-module, then E gives rise to a compact element of the Cuntz semigroup if and only if E…
math.OA2007★ 4 cited
Cuntz semigroups of ideals and quotients and a generalized Kasparov Stabilization Theorem
Alin Ciuperca, Leonel Robert, Luis Santiago
Let A be a C*-algebra and I a closed two-sided ideal of A. We use the Hilbert C*-modules picture of the Cuntz semigroup to investigate the relations between the Cuntz semigroups of…