Title: Tracial stability and graph products
Speaker: Scott Atkinson (Vanderbilt University)
Abstract: A unital C*-algebra A is tracially stable if maps on A that are approximately (in trace) unital *-homomorphisms can be approximated (in trace) by honest unital *-homomorphisms on A. Tracial stability is closed under free products and tensor products with abelian C*-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*-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.
