The simplex of tracial quantum symmetric states

• Autorzy: Yoann Dabrowski , Kenneth J. Dykema , Kunal Mukherjee
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 46L54: Free probability and free operator algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 225
• Numer: 3
• Strony: 203-218

Daty

wydano

2014

Twórcy

autor

Yoann Dabrowski

• Université de Lyon, Université Lyon 1, Institut Camille Jordan UMR 5208, 43 blvd. du 11 novembre 1918, F-69622 Villeurbanne Cedex, France

autor

Kenneth J. Dykema

• Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, U.S.A.

autor

Kunal Mukherjee

• Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

Identyfikatory

DOI

10.4064/sm225-3-2