Date: Thursday, February 28, 2013
Location: 2866 East Hall (4:00 PM to 5:30 PM)
Title: Countable locally nilpotent group actions and hyperfinite equivalence relations
Abstract: An equivalence relation E is hyperfinite if E is the increasing union of a sequence of Borel equivalence relations with finite classes. In 1982 Weiss proved that any orbit equivalence relation arising from a Borel action of Z is hyperfinite, and asked whether this property is shared by larger classes of countable groups. We survey this question and discuss recent positive answers to it by Gao and Jackson for abelian groups, and by Seward and the speaker for free actions of locally nilpotent groups.
Speaker: Scott Schneider
Institution: University of Michigan
Event Organizer: Andreas Blass
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