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比利时vs摩洛哥足彩 ,
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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