The quasi-state space of a C*-algebra is a topological quotient of the representation space

Sergio Andrés Yuhjtman

We show that for any C*-algebra $A$, a sufficiently large Hilbert space $H$ and a unit vector $\xi \in H$, the natural application $rep(A:H)\to Q(A)$, $π\mapsto \langle π(-)ξ,ξ\rangl…