Adam Fuller, Ohio University Boundaries of function algebras, operator algebras and beyond

Date: Time: 4:00 pm–4:50 pm
Avery Hall
Additional Info: AVH
Abstract: In this talk we will discuss various notions of a boundary. We will begin with the topological definition. Recall that every point in a polygon can be described as a convex combination of points on its boundary. We will explore what this means for functions on a polygon. This will lead to a discussion of the famed theorems of Choquet and Bishop-de Leeuw on boundaries for function algebras. We will then outline Arveson’s successful program which generalized these results to noncommutative operator algebras. Finally, we will mention some recent joint work with M. Hartz and M. Lupini which generalizes Arveson’s program to arbitrary linear spaces of operators.

Additional Public Info:
Hosted by David Pitts

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