Multiorder of countable groups

Abstract: I will present the notion of a Multiorder of a countable group, a particular case of an Invariant Random Order introduced by John Kieffer in 1975. I will discuss how multiorder is related to orbit equivalence to Z-actions and I will prove that if the group is amenable then each multiorder has the F\o lner property. If time permits, I will also show how to construct a uniformly F\o lner multiorder of entropy zero, using a tiling system.

dynamical systems

Audience: researchers in the topic

Dynamical systems seminar at the Jagiellonian University