Local characterisation of approximately finite operator algebras

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dc.creatorHaworth, P. A.
dc.date2000-11-20
dc.date.accessioned2026-07-07T04:38:41Z
dc.date.available2026-07-07T04:38:41Z
dc.descriptionWe show that the family of nest algebras with $r$ non-zero nest projections is stable, in the sense that an approximate containment of one such algebra within another is close to an exact containment. We use this result to give a local characterisation of limits formed from this family. We then consider quite general regular limit algebras and characterise these algebras using a local condition which reflects the assumed regularity of the system.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0011143
dc.identifierhttp://arxiv.org/abs/math/0011143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60382
dc.subjectOperator Algebras
dc.subject47L40, 47A55
dc.titleLocal characterisation of approximately finite operator algebras
dc.typetext

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