The Space of Tracial States on a C$^*$-Algebra
Operator Algebras
2024-09-25 v2
Abstract
We give a simple and elementary proof that the tracial state space of a unital C-algebra is a Choquet simplex, using the center-valued trace on a finite von Neumann algebra.
Cite
@article{arxiv.2409.09644,
title = {The Space of Tracial States on a C$^*$-Algebra},
author = {Bruce Blackadar and Mikael Rørdam},
journal= {arXiv preprint arXiv:2409.09644},
year = {2024}
}
Comments
12 pages. Two extra references added, and last section organized differently