Gregory Faurot

activity

20232026

^{*}

-algebras with Condition~(K)

2 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math.OA2026

Superselection theory for 2D braided quantum spin systems via Connes fusion

Gregory Faurot, Charlton Li, David Penneys +1

The article arXiv:2410.21454 constructed a braided $W^{*}$ -tensor category of superselection sectors associated to a net of von Neumann algebras on a suitably geometric pose…

math.OA2026

The Homotopy 3-Type of Abelian C*-Algebras

Gregory Faurot, Giovanni Ferrer

We compute the homotopy groups at each unital abelian C*-algebra $C (T)$ in the Morita $3$ -category of abelian C*-algebras, C*-algebras with central maps, C*-correspondences, and ad…

math.OA2025

$Z$ -stable Graph Algebras

Gregory Faurot

We introduce a divisibility-type condition for directed graphs that is necessary for $Z$ -stability of the corresponding graph $C^{*}$ -algebra. We prove that this condition…

math.OA2023★ 2 cited

Nuclear dimension of graph C $^{*}$ -algebras with Condition~(K)

Gregory Faurot, Christopher Schafhauser

We prove that for any countable directed graph $E$ with Condition~(K), the associated graph $C^{*}$ -algebra $C^{*} (E)$ has nuclear dimension at most $2$ . Furthermore, we provide a suff…

Superselection theory for 2D braided quantum spin systems via Connes fusion

The Homotopy 3-Type of Abelian C*-Algebras

Z-stable Graph Algebras

Nuclear dimension of graph C∗-algebras with Condition~(K)

$Z$ -stable Graph Algebras

Nuclear dimension of graph C $^{*}$ -algebras with Condition~(K)