Vincent M. Ruzicka

collaborators

2 papers

math.OA2026

The trace simplex of a noncommutative Villadsen algebra

George A. Elliott, Vincent M. Ruzicka

We construct a ``noncommutative'' Villadsen algebra $B$ and show that, given an extreme tracial state $I^½$ on its canonical AF subalgebra, the subset of $T (B)$ consisting of those…

math.OA2026

Villadsen algebras are singly generated

Chun Guang Li, Zhuang Niu, Vincent M. Ruzicka

We show that Villadsen algebras, which are not Z-stable, are singly generated. More generally, we show that any simple unital AH algebra with diagonal maps is singly generated.