David Gao

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20242026

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Showing 2024 · math.OAShow all

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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.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

Internal sequential commutation and single generation

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