Iason Moutzouris

activity

20212026

collaborators

4 papers

math.OA2026

Nuclear Dimension of Twisted $C^{*}$ -Algebras of Virtually Abelian Groups

Forrest Glebe, Pradyut Karmakar, Iason Moutzouris

Let $G$ be a finitely generated virtually abelian group and $[σ] \in H^{2} (G; T)$ such that $σ (x, y)$ is always a root of unity. We show that the nuclear dimension of the twist…

math.OA2025

Nuclear Dimension and Rigidity Results for Virtually Abelian Groups

Frankie Chan, S. Joseph Lippert, Iason Moutzouris +1

Let $G$ be a finitely generated virtually abelian group. We show that the Hirsch length, $h (G)$ , is equal to the nuclear dimension of its group $C^{*}$ -algebra, $dim_{n u c} (C^{*} (G))$ .…

math.OA2023

When amenable groups have real rank zero $C^{*}$ -algebras

Iason Moutzouris

We investigate when discrete, amenable groups have $C^{*}$ -algebras of real rank zero. While it is known that this happens when the group is locally finite, the converse in an open p…

math.OA2021

Extensions of quasidiagonal $C^{*}$ -algebras and controlling the $K_{0}$ -map of embeddings

Iason Moutzouris

We study the validity of the Blackadar-Kirchberg conjecture for extensions of separable, nuclear, quasidiagonal $C^{*}$ -algebras that satisfy the UCT. More specifically, we show that…

Nuclear Dimension of Twisted C∗-Algebras of Virtually Abelian Groups

Nuclear Dimension and Rigidity Results for Virtually Abelian Groups

When amenable groups have real rank zero C∗-algebras

Extensions of quasidiagonal C∗-algebras and controlling the K0​-map of embeddings

Nuclear Dimension of Twisted $C^{*}$ -Algebras of Virtually Abelian Groups

When amenable groups have real rank zero $C^{*}$ -algebras

Extensions of quasidiagonal $C^{*}$ -algebras and controlling the $K_{0}$ -map of embeddings