110 citations · 300 across the 26 of their papers we have counts for
30 papers
Entropy, virtual Abelianness, and Shannon orbit equivalence
David Kerr, Hanfeng Li
We prove that if two free p.m.p. -actions are Shannon orbit equivalent then they have the same entropy. The argument also applies more generally to yield the same concl…
Elementary amenability and almost finiteness
David Kerr, Petr Naryshkin
We show that every free continuous action of a countably infinite elementary amenable group on a finite-dimensional compact metrizable space is almost finite. As a consequence, the…
Entropy, products, and bounded orbit equivalence
David Kerr, Hanfeng Li
We prove that if two topologically free and entropy regular actions of countable sofic groups on compact metrizable spaces are continuously orbit equivalent, and each group either…
Entropy, Shannon orbit equivalence, and sparse connectivity
David Kerr, Hanfeng Li
We say that two free probability-measure-preserving actions of countable groups are Shannon orbit equivalent if there is an orbit equivalence between them whose associated cocycle…
Dynamical alternating groups, stability, property Gamma, and inner amenability
David Kerr, Robin Tucker-Drob
We prove that the alternating group of a topologically free action of a countably infinite group on the Cantor set has the property that all of its -Betti numbers vanis…
Almost finiteness and the small boundary property
David Kerr, Gabor Szabo
Working within the framework of free actions of countable amenable groups on compact metrizable spaces, we show that the small boundary property is equivalent to a density version…