Free minimal actions of solvable Lie groups which are not affable

Alcalde Cuesta, Fernando; Lozano Rojo, Álvaro; Martínez, Matilde

doi:10.1090/proc/15365

Free minimal actions of solvable Lie groups which are not affable
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by Fernando Alcalde Cuesta, Álvaro Lozano Rojo and Matilde Martínez

Proc. Amer. Math. Soc. 149 (2021), 2679-2691

DOI: https://doi.org/10.1090/proc/15365

Published electronically: March 18, 2021

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Abstract:

We construct an uncountable family of transversely Cantor laminations of compact spaces defined by free minimal actions of solvable groups, which are not affable and whose orbits are not quasi-isometric to Cayley graphs.

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