Exactness of free and amenable groups by the construction of Ozawa kernels

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dc.creatorCampbell, Sarah
dc.date2004-09-15
dc.date2005-06-01
dc.date.accessioned2026-07-07T05:12:08Z
dc.date.available2026-07-07T05:12:08Z
dc.descriptionUsing properties of their Cayley graphs, specific examples of Ozawa kernels are constructed for both free and amenable groups, thus showing that these groups satisfy Property O. It is deduced both that these groups are exact and satisfy Yu's Property A.
dc.description7 pages. Typos corrected. Bibliographical data updated. Abstract amended to comment that we can deduce that these groups satisfy Yu's property A. Page 1: added definition of C-star algebra. Corollaries 2.4 and 3.4, added comment that this also proves that these groups satisfy Yu's property A
dc.identifierhttps://arxiv.org/abs/math/0409248
dc.identifierhttp://arxiv.org/abs/math/0409248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72476
dc.subjectGroup Theory
dc.subject(Primary) 20f (Secondary)
dc.titleExactness of free and amenable groups by the construction of Ozawa kernels
dc.typetext

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