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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.07698 |
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Table of Contents:
- We construct a ``noncommutative'' Villadsen algebra $B$ and show that, given an extreme tracial state $ν$ on its canonical AF subalgebra, the subset of $T(B)$ consisting of those tracial states that equal $ν$ when restricted to the canonical AF subalgebra is the Poulsen simplex. In particular, if the canonical AF subalgebra has a unique trace, then $T(B)$ is the Poulsen simplex. We go on to show that in certain instances, the tracial cone of a ``classical'' AF-Villadsen algebra $D$ is isomorphic to the tracial cone of the algebra obtained from $D$ by deleting all point evaluations.