Property A, partial translation structures and uniform embeddings in groups

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dc.creatorBrodzki, J.
dc.creatorNiblo, G. A.
dc.creatorWright, N. J.
dc.date2006-03-27
dc.date2007-02-20
dc.date.accessioned2026-07-07T07:47:31Z
dc.date.available2026-07-07T07:47:31Z
dc.descriptionWe define the concept of a partial translation structure T on a metric space X and we show that there is a natural C*-algebra C*(T) associated with it which is a subalgebra of the uniform Roe algebra C*_u(X). We introduce a coarse invariant of the metric which provides an obstruction to embedding the space in a group. When the space is sufficiently group-like, as determined by our invariant, properties of the Roe algebra can be deduced from those of C*(T). We also give a proof of the fact that the uniform Roe algebra of a metric space is a coarse invariant up to Morita equivalence.
dc.identifierhttps://arxiv.org/abs/math/0603621
dc.identifierhttp://arxiv.org/abs/math/0603621
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124192
dc.subjectOperator Algebras
dc.subjectGroup Theory
dc.subject58B34
dc.titleProperty A, partial translation structures and uniform embeddings in groups
dc.typetext

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