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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243: Functional Analysis Seminar
Srivatsav Kunnawalkam Elayavalli
IPAM (UCLA)
Two full factors with non-isomorphic ultrapowers
Abstract:
I will show you how to construct a full factor $M$ such that $M$ and $L(F_2)$ do not have any isomorphic ultrapowers. The construction uses a combination of techniques from deformation/rigidity and free entropy theory. We also provide the first example of a $\mathrm{II}_1$ factor that is full such that its ultrapower is strongly $1$-bounded. This is joint work with Adrian Ioana and Ionut Chifan.
Hosts: David Jekel and Priyanga Ganesan
October 4, 2022
11:00 AM
APM 6402 and on Zoom
(email djekel@ucsd.edu for Zoom info)
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