A noncommutative Villadsen algebra is constructed whose trace simplex is the Poulsen simplex when restricted to a given extreme trace on its AF subalgebra, or the full Poulsen simplex if the AF subalgebra has unique trace.
Villadsen, Simple C ∗-algebras with perforation , J
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The trace simplex of a noncommutative Villadsen algebra
A noncommutative Villadsen algebra is constructed whose trace simplex is the Poulsen simplex when restricted to a given extreme trace on its AF subalgebra, or the full Poulsen simplex if the AF subalgebra has unique trace.