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Operator Theory Seminar - Hedrick Assistant Adjunct Professor Changying Ding; Department of Mathematics, University of California, Los Angeles
Nov 12, 2024
01:30 PM - 02:30 PM
30 North Dubuque Street, Iowa City, IA 52242
On Cartan subalgebras of ${\rm II}_1$ factors arising from Bernoulli actions of weakly amenable groups
Hedrick Assistant Adjunct Professor Changying Ding; Department of Mathematics, University of California, Los Angeles
A conjecture of Popa states that the ${\rm II}_1$ factor arising from a Bernoulli action of a nonamenable group has a unique (group measure space) Cartan subalgebra, up to unitary conjugacy. In this talk, I will discuss this conjecture and show that it holds for weakly amenable groups with constant $1$ among algebraic actions. The proof involves the notion of properly proximal groups introduced by Boutonnet, Ioana, and Peterson.
To participate in the seminar remotely via Zoom, go to https://uiowa.zoom.us/j/95316149275
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