Covering dimension and quasidiagonality

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dc.creatorKirchberg, Eberhard
dc.creatorWinter, Wilhelm
dc.date2002-07-19
dc.date.accessioned2026-07-07T04:49:45Z
dc.date.available2026-07-07T04:49:45Z
dc.descriptionWe introduce the decomposition rank, a notion of covering dimension for nuclear C^*-algebras. The decomposition rank generalizes ordinary covering dimension and has nice permanence properties; in particular, it behaves well with respect to direct sums, quotients, inductive limits, unitization and quasidiagonal extensions. Moreover, it passes to hereditary subalgebras and is invariant under stabilization. It turns out that the decomposition rank can be finite only for strongly quasidiagonal C^*-algebras and that it is closely related to the classification program.
dc.identifierhttps://arxiv.org/abs/math/0207164
dc.identifierhttp://arxiv.org/abs/math/0207164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64543
dc.subjectOperator Algebras
dc.subjectGeneral Topology
dc.subjectK-Theory and Homology
dc.subject46L85, 46L35
dc.titleCovering dimension and quasidiagonality
dc.typetext

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