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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 243, functional analysis
adriana fernandez i quero
the university of iowa
rigidity results for group von neumann algebras with diffuse center
abstract:
we introduce the first examples of groups g with an infinite center which in a natural sense are completely recognizable from their von neumann algebras, l(g). specifically, assume that g=a x w, where a is an infinite abelian group and w is an icc wreath-like product group with property (t) and trivial abelianization. then whenever h is an arbitrary group such that l(g) is isomorphic to l(h), via an arbitrary isomorphism preserving the canonical traces, it must be the case that h= b x h_0 where b is infinite abelian and h_0 is isomorphic to w. moreover, we completely describe the isomorphism between l(g) and l(h). this yields new applications to the classification of group c*-algebras, including examples of non-amenable groups which are recoverable from their reduced c*-algebras but not from their von neumann algebras. this is joint work with ionuţ chifan and hui tan.
host: priyanga ganesan
february 13, 2024
11:00 am
apm 5829 and zoom (meeting id: 94246284235)
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