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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

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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