Department of Mathematics,
University of California San Diego
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Math 243: Functional Analysis Seminar
Matt Kennedy
University of Waterloo
Hyperrigidity and noncommutative Choquet theory
Abstract:
Hyperrigidity is an interesting and important approximation-theoretic property of generating sets of C*-algebras. It plays a key role in, for example, the theory of strong convergence. In this talk, I will discuss a new characterization of hyperrigid generating sets in terms of the solvability of a certain noncommutative Dirichlet problem. I will also demonstrate how this result can be applied in practice.
Classical Choquet theory plays a key role in the study of classical Dirichlet problems, so it is perhaps not surprising that our results utilize noncommutative Choquet theory. I will provide a brief overview of some of these ideas.
This is joint work with Eli Shamovich.
February 24, 2026
11:00 AM
APM 6402
Research Areas
Functional Analysis / Operator Theory****************************
