The simplex of tracial quantum symmetric states Academic Article uri icon


  • © Instytut Matematyczny PAN, 2014. We show that the space of tracial quantum symmetric states of an arbitrary unital C∗-algebra is a Choquet simplex and is a face of the tracial state space of the universal unital C∗-algebra free product of A with itself infinitely many times. We also show that the extreme points of this simplex are dense, making it the Poulsen simplex when A is separable and nontrivial. In the course of the proof we characterize the centers of certain tracial amalgamated free product C∗-algebras.

author list (cited authors)

  • Dabrowski, Y., Dykema, K. J., & Mukherjee, K.

citation count

  • 3

publication date

  • January 2014