Convex hulls of unitary orbits of normal elements in $C^{\ast }$-algebras with tracial rank zero

Shanwen Hu, Huaxin Lin

Let $A$ be a unital separable simple $C^{\ast }$-algebra with tracial rank zero and let $x,y\in A$ be two normal elements. We show that $x$ is in the closure of the convex full of th…