Metric approximations of unrestricted wreath products when the acting group is amenable
نویسندگان
چکیده
We give a simple and unified proof showing that the unrestricted wreath product of weakly sofic, linear or hyperlinear group by an amenable is hyperlinear, respectively. By means Kaloujnine-Krasner theorem, this implies extensions with quotients preserve four aforementioned metric approximation properties. also discuss case co-amenable groups.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2021
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2021.1976790