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math.DS2024
URP, comparison, mean dimension, and sharp shift embeddability
Petr Naryshkin
For a free action of an amenable group on a compact metrizable space, we study the Uniform Rokhlin Property (URP) and the conjunction of Uniform Rokhlin Prop…
math.OA2024
Essential freeness, allostery and -stability of crossed products
Eusebio Gardella, Shirly Geffen, Rafaela Gesing +2
We explore classifiability of crossed products of actions of countable amenable groups on compact, metrizable spaces. It is completely understood when such crossed products are sim…
math.DS2024
Almost finiteness and groups of dynamical origin
Petr Naryshkin, Spyridon Petrakos
We introduce the property of having good subgroups for actions of countable discrete groups on compact metrizable spaces, and show that it implies comparison when the acting group…