Geodesic
Uniformly quasi-Hermitian groups are supramenable
Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 665-673

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DOI

Motivated by the recent result in Samei and Wiersma (2020, Advances in Mathematics 359, 106897) that quasi-Hermitian groups are amenable, we consider a generalization of this property on discrete groups associated to certain Roe-type algebras; we call it uniformly quasi-Hermitian. We show that the class of uniformly quasi-Hermitian groups is contained in the class of supramenable groups and includes all subexponential groups. We also show that they are invariant under quasi-isometry.
DOI : 10.4153/S0008439521000527
Mots-clés : Qausi-Hermitian groups, amenable groups, supramenable groups, groups with subexponential growth, uniform Roe algebras 
Azam, Mahmud; Samei, Ebrahim. Uniformly quasi-Hermitian groups are supramenable. Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 665-673. doi: 10.4153/S0008439521000527
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     title = {Uniformly {quasi-Hermitian} groups are supramenable},
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     year = {2022},
     volume = {65},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000527/}
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