Isomorphism of Hilbert modules over stably finite C*-algebras

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dc.creatorBrown, Nathanial P.
dc.creatorCiuperca, Alin
dc.date2008-11-06
dc.date.accessioned2026-07-07T10:16:25Z
dc.date.available2026-07-07T10:16:25Z
dc.descriptionIt 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 is algebraically finitely generated and projective. It follows that if E and F are equivalent in the sense of Coward, Elliott and Ivanescu (CEI) and E is algebraically finitely generated and projective, then E and F are isomorphic. In contrast to this, we exhibit two CEI-equivalent Hilbert modules over a stably finite C*-algebra that are not isomorphic.
dc.identifierhttps://arxiv.org/abs/0811.0958
dc.identifierhttp://arxiv.org/abs/0811.0958
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173498
dc.subjectOperator Algebras
dc.titleIsomorphism of Hilbert modules over stably finite C*-algebras
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