The simplex of tracial quantum symmetric states Academic Article

abstract

• 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.

authors

• Dykema, Kenneth

published proceedings

• STUDIA MATHEMATICA

author list (cited authors)

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

citation count

• 4

complete list of authors

• Dabrowski, Yoann||Dykema, Kenneth J||Mukherjee, Kunal

publication date

• January 2014

publisher

• Institute of Mathematics, Polish Academy of Sciences  Publisher

published in

• Studia Mathematica  Journal

keywords

• Amalgamated Free Product
• Quantum Symmetric States

Digital Object Identifier (DOI)

• 10.4064/sm225-3-2

start page

• 203

end page

• 218

volume

• 225

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.4064%2Fsm225-3-2