A Fredholm Operator Approach To Morita Equivalence

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dc.creatorExel, Ruy
dc.date1992-12-31
dc.date.accessioned2026-07-07T09:13:23Z
dc.date.available2026-07-07T09:13:23Z
dc.descriptionGiven C*-algebras A and B and an imprimitivity A-B-bimodule X, we construct an explicit isomorphism X_* : K_i(A) --> K_i(B) where K_i denote the complex K-theory functors for i=0, 1. Our techniques do not require separability nor existence of countable approximate identities. We thus extend, to general C*-algebras, the result of Brown, Green and Rieffel according to which strongly Morita equivalent C*-algebras have isomorphic K-groups. The method employed includes a study of Fredholm operators on Hilbert modules.
dc.description23 pages, Plain TeX, UNM-RE-004
dc.identifierhttps://arxiv.org/abs/funct-an/9212005
dc.identifierhttp://arxiv.org/abs/funct-an/9212005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152307
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.titleA Fredholm Operator Approach To Morita Equivalence
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