Operator systems and algebras learning seminar

Speaker: Adam Dor-On (University of Copenhagen)

Title: Boundary theory for function algebras and operator algebras.

Abstract: We will talk about Shilov and Choquet boundaries of function algebras, and prove the existence of Shilov boundary. After this we will define their non-commutative analogues due to Arveson, and prove the existence of the non-commutative Shilov boundary (called the C*-envelope) using Hamana's injective envelopes.