Borel asymptotic dimension and hyperfiniteness
Appears in collection : Measured Group Theory, Stochastic Processes on Groups and Borel Combinatorics / Théorie mesurée des groupes, processus stochastiques sur les groupes et combinatoire Borélienne
We introduce a 'purely Borel' version of Gromov's notion of asymptotic dimension, and show how to use it to establish hyperfiniteness of various equivalence relations. Time permitting, we discuss hyperfiniteness of orbit equivalence relations of free actions of lamplighter groups. This is joint work with Jackson, Marks, Seward, and Tucker-Drob.
