# Classifiability of crossed products by nonamenable groups

@inproceedings{Gardella2022ClassifiabilityOC, title={Classifiability of crossed products by nonamenable groups}, author={Eusebio Gardella and Shirly Geffen and Julian J Kranz and P. E. Naryshkin}, year={2022} }

We show that all amenable, minimal actions of a large class of nonamenable countable groups on compact metric spaces have dynamical comparison. This class includes all nonamenable hyperbolic groups, many HNNextensions, nonamenable Baumslag-Solitar groups, a large class of amalgamated free groups, lattices in many Lie groups, Ã2-groups, as well as direct products of the above with arbitrary countable groups. As a consequence, crossed products by amenable, minimal and topologically free actions…

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