Seminário de Análise, Geometria e Sistemas Dinâmicos   RSS

25/11/2014, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
Rachid El Harti, University Hassan I, Settat, Morroco

The Choquet boundary of amenable nonselfadjoint operator algebras

For any compact and Hausdorff set $X$, the Choquet boundary of  an amenable function algebra $A$ in the algebra $C(X)$ of continuous and complex functions on $X$ is exactly $X$. The problem is lifted to non commutative cases where $A$ is an operator algebra and $X$ is replaced by irreducible representations.