David Gao

activity

20242026

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4 papers · 1 filter

math.OA2024

Strict comparison in reduced group $C^{*}$ -algebras

Tattwamasi Amrutam, David Gao, Srivatsav Kunnawalkam Elayavalli +1

We prove that for every $n \geq 2$ , the reduced group $C^{*}$ -algebras of the countable free groups $C_{r}^{*} (F_{n})$ have strict comparison. Our method works in a general setting…

math.GR2024

Sofic actions on graphs

David Gao, Greg Patchell, Srivatsav Kunnawalkam Elayavalli

We develop a theory of soficity for actions on graphs and obtain new applications to the study of sofic groups. We establish various examples, stability and permanence properties o…

math.GR2024

On soficity for certain fundamental groups of graphs of groups

David Gao, Srivatsav Kunnawalkam Elayavalli, Mahan Mj

In this note we study a family of graphs of groups over arbitrary base graphs where all vertex groups are isomorphic to a fixed countable sofic group $G$ , and all edge groups $H < G$ …

math.OA2024

Internal sequential commutation and single generation

David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1

We extract a precise internal description of the sequential commutation equivalence relation introduced in [KEP23] for tracial von Neumann algebras. As an application we prove that…

Strict comparison in reduced group C∗-algebras

Sofic actions on graphs

On soficity for certain fundamental groups of graphs of groups

Internal sequential commutation and single generation

Strict comparison in reduced group $C^{*}$ -algebras