$P(ω)/{\rm fin}$ and projections in the Calkin algebra

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dc.creatorWofsey, Eric
dc.date2007-02-12
dc.date.accessioned2026-07-07T07:46:19Z
dc.date.available2026-07-07T07:46:19Z
dc.descriptionWe investigate the set-theoretic properties of the lattice of projections in the Calkin algebra of a separable infinite-dimensional Hilbert space in relation to those of the Boolean algebra $P(ω)/{\rm fin}$, which is isomorphic to the sublattice of diagonal projections. In particular, we prove some basic consistency results about the possible cofinalities of well-ordered sequences of projections and the possible cardinalities of sets of mutually orthogonal projections that are analogous to well-known results about $P(ω)/{\rm fin}$.
dc.description8 pages; to appear in Proceedings of the AMS
dc.identifierhttps://arxiv.org/abs/math/0702309
dc.identifierhttp://arxiv.org/abs/math/0702309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123789
dc.subjectLogic
dc.subjectOperator Algebras
dc.subject03E35 (Primary) 46L05 (Secondary)
dc.title$P(ω)/{\rm fin}$ and projections in the Calkin algebra
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