比利时vs摩洛哥足彩
,
university of california san diego
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math 243 - functional analysis seminar
scott atkinson
vanderbilt university
tracial stability and graph products
abstract:
a unital $c^\ast$-algebra $a$ is tracially stable if maps on $a$ that are approximately (in trace) unital $\ast$-homomorphisms can be approximated (in trace) by honest unital $\ast$-homomorphisms on $a$. tracial stability is closed under free products and tensor products with abelian $c^\ast$-algebras. in this talk we expand these results to show that for a graph from a certain class, the corresponding graph product (a simultaneous generalization of free and tensor products) of abelian $c^\ast$-algebras is tracially stable. we will then discuss two applications of this result: a selective version of lin’s theorem and a characterization of the amenable traces on certain right-angled artin groups.
host: adrian ioana
november 13, 2018
10:00 am
ap&m 6402
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