Boundaries of Hyperbolic Metric Spaces

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dc.creatorWebster, Corran
dc.creatorWinchester, Adam
dc.date2003-10-08
dc.date.accessioned2026-07-07T05:01:42Z
dc.date.available2026-07-07T05:01:42Z
dc.descriptionWe investigate the relationship between the metric boundary and the Gromov boundary of a hyperbolic metric space. We show that the Gromov boundary is a quotient topological space of the metric boundary, and that therefore a word-hyperbolic group has an amenable action on the metric boundary of its Cayley graph. This result has significance for the study of Lip-norms on group C*-algebras.
dc.description9 pages. AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0310101
dc.identifierhttp://arxiv.org/abs/math/0310101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68773
dc.subjectMetric Geometry
dc.subjectGroup Theory
dc.subjectOperator Algebras
dc.subject20F65 (Primary) 46L87, 53C23 (Secondary)
dc.titleBoundaries of Hyperbolic Metric Spaces
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