G. Patchell

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20242026

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6 papers · 1 filter

math.OA2026

Selfless reduced amalgamated free products and HNN extensions

David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1

We find a general family of selfless inclusions in reduced amalgamated free products of C*-algebras. Apart from generalizing prior works due to McClanahan, Ivanov and Omland, our w…

math.OA2026

Exotic full factors via weakly coarse bimodules

David Gao, David Jekel, Srivatsav Kunnawalkam Elayavalli +1

We are able to explicitly compute the bimodule structure of von Neumann algebra inclusions in handle constructions, which arise as inductive limits of iterated amalgamated free pro…

math.OA2025

Selfless Inclusions of C*-Algebras

Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1

We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the s…

math.OA2025

3-handle construction on II $_{1}$ factors

David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell

We find a subtle modification to the construction of Chifan-Ioana-Kunnawalkam Elayavalli, which yields a drastic simplification of the proof of the existence of two non Gamma non e…

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 $…