L^2-Invariants and rank metric

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dc.creatorThom, Andreas
dc.date2006-07-11
dc.date.accessioned2026-07-07T07:18:15Z
dc.date.available2026-07-07T07:18:15Z
dc.descriptionWe introduce a notion of rank completion for bi-modules over a finite tracial von Neumann algebra. We show that the functor of rank completion is exact and that the category of complete modules is abelian with enough projective objects. This leads to interesting computations in the L^2-homology for tracial algebras. As an application, we also give a new proof of a Theorem of Gaboriau on invariance of L^2-Betti numbers under orbit equivalence.
dc.description10 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0607263
dc.identifierhttp://arxiv.org/abs/math/0607263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114233
dc.subjectOperator Algebras
dc.subjectAlgebraic Topology
dc.subject46L10; 37A20
dc.titleL^2-Invariants and rank metric
dc.typetext

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