Maximal C*-algebras of quotients and injective envelopes of C*-algebras

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dc.creatorAra, Pere
dc.creatorMathieu, Martin
dc.date2007-04-27
dc.date.accessioned2026-07-07T07:58:34Z
dc.date.available2026-07-07T07:58:34Z
dc.descriptionA new C*-enlargement of a C*-algebra $A$ nested between the local multiplier algebra $M_{\text{loc}}(A)$ of $A$ and its injective envelope $I(A)$ is introduced. Various aspects of this maximal C*-algebra of quotients, $Q_{\text{max}}(A)$, are studied, notably in the setting of AW*-algebras. As a by-product we obtain a new example of a type I C*-algebra $A$ such that $M_{\text{loc}}(M_{\text{loc}}(A))\ne M_{\text{loc}}(A)$.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/0704.3711
dc.identifierhttp://arxiv.org/abs/0704.3711
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128054
dc.subjectOperator Algebras
dc.subjectRings and Algebras
dc.subject46L05; 46L07; 46L08
dc.titleMaximal C*-algebras of quotients and injective envelopes of C*-algebras
dc.typetext

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