Nest Representations of TAF Algebras

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dc.creatorHopenwasser, Alan
dc.creatorPeters, Justin R.
dc.creatorPower, Stephen C.
dc.date1999-05-14
dc.date1999-08-28
dc.date.accessioned2026-07-07T05:29:05Z
dc.date.available2026-07-07T05:29:05Z
dc.descriptionA nest representation of a strongly maximal TAF algebra $A$ is a representation $π$ for which $\operatorname{Lat} π(A) is totally ordered. We prove that if the spectrum of $A$ is totally ordered, or if $\operatorname{Lat} π(A)$ contains an atom, then $\operatorname{ker} π$ is a meet irreducible ideal.
dc.descriptionAMS-LaTeX, 17 pages. Revised version corrects a misstatement in the expository material of the main theorem in section 3. Other minor misprints are also corrrected
dc.identifierhttps://arxiv.org/abs/math/9905088
dc.identifierhttp://arxiv.org/abs/math/9905088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78504
dc.subjectOperator Algebras
dc.subject47D25
dc.titleNest Representations of TAF Algebras
dc.typetext

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