G. Patchell

activity

20222026

most citedSequential commutation in tracial von Neumann algebras

3 citations · 3 across the 16 of their papers we have counts for

collaborators

Showing 2024 · math.OAShow all

3 papers · 2 filters

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

Simplices of maximally amenable extensions in II $_{1}$ factors

Srivatsav Kunnawalkam Elayavalli, Gregory Patchell

For every $n \in N$ we obtain a separable II $_{1}$ factor $M$ and a maximally abelian subalgebra $A \subset M$ such that the space of maximally amenable extensions of $A$ in $…

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

Simplices of maximally amenable extensions in II1​ factors

Internal sequential commutation and single generation

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

Simplices of maximally amenable extensions in II $_{1}$ factors