Metric approximations of unrestricted wreath products when the acting group is amenable

dc.creatorBrude, Javier Eugenio
dc.creatorSasyk, Román
dc.date2021-09-15
dc.date2022-10-13T16:18:56Z
dc.date.accessioned2023-07-15T04:59:07Z
dc.date.available2023-07-15T04:59:07Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/143749
dc.identifierissn:0092-7872
dc.identifierissn:1532-4125
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7471642
dc.descriptionWe give a simple and unified proof showing that the unrestricted wreath product of a weakly sofic, sofic, linear sofic, or hyperlinear group by an amenable group is weakly sofic, sofic, linear sofic, or hyperlinear, respectively. By means of the Kaloujnine-Krasner theorem, this implies that group extensions with amenable quotients preserve the four aforementioned metric approximation properties. We also discuss the case of co-amenable groups.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectMatemática
dc.subjectUnrestricted wreath products
dc.subjectSofic groups
dc.subjectLinear sofic groups
dc.subjectWeakly sofic groups
dc.subjectHyperlinear groups
dc.subjectAmenable groups
dc.titleMetric approximations of unrestricted wreath products when the acting group is amenable
dc.typeArticulo
dc.typePreprint


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