Residual Amenability and the Approximation of L^2-invariants

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dc.creatorClair, Bryan
dc.date1997-10-03
dc.date.accessioned2026-07-07T03:24:31Z
dc.date.available2026-07-07T03:24:31Z
dc.descriptionWe generalize Luck's Theorem to show that the L^2-Betti numbers of a residually amenable covering space are the limit of the L^2-Betti numbers of a sequence of amenable covering spaces. We show that any residually amenable covering space of a finite simplicial complex is of determinant class, and that the L^2 torsion is a homotopy invariant for such spaces. We give examples of residually amenable groups, including the Baumslag-Solitar groups.
dc.description13 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/dg-ga/9710002
dc.identifierhttp://arxiv.org/abs/dg-ga/9710002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33351
dc.subjectDifferential Geometry
dc.titleResidual Amenability and the Approximation of L^2-invariants
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