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Amenable wreath products with non almost finite actions of mean dimension zero

Amenable wreath products with non almost finite actions of mean dimension zero

Almost finiteness was introduced in the seminal work of Kerr [J. Eur. Math. Soc. (JEMS) 22 (2020), pp. 3697–3745] as an dynamical analogue of<inline-formula content-type="math/mathml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper Z"><mml:semantics><mml:mrow class="MJX-TeXAtom-ORD"><mml:mi class="MJX-tex-caligraphic" mathvariant="script">Z</mml:mi></mml:mrow><mml:annotation encoding="application/x-tex">\mathcal {Z}</mml:annotation></mml:semantics></mml:math></inline-formula>-stability in the Toms-Winter conjecture. In this article, we provide the first examples of minimal, topologically free …