The simplex of tracial quantum symmetric states

Yoann Dabrowski, Kenneth J. Dykema, and Kunal Mukherjee. "The simplex of tracial quantum symmetric states." Studia Mathematica 225.3 (2014): 203-218. <http://eudml.org/doc/285590>.

@article{YoannDabrowski2014,
abstract = {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 = {Yoann Dabrowski, Kenneth J. Dykema, Kunal Mukherjee},
journal = {Studia Mathematica},
keywords = {quantum symmetric states; amalgamated free product},
language = {eng},
number = {3},
pages = {203-218},
title = {The simplex of tracial quantum symmetric states},
url = {http://eudml.org/doc/285590},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Yoann Dabrowski
AU - Kenneth J. Dykema
AU - Kunal Mukherjee
TI - The simplex of tracial quantum symmetric states
JO - Studia Mathematica
PY - 2014
VL - 225
IS - 3
SP - 203
EP - 218
AB - 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.
LA - eng
KW - quantum symmetric states; amalgamated free product
UR - http://eudml.org/doc/285590
ER -