Eli Bashwinger

activity

20242026

collaborators

3 papers

math.OA2026

On Similarity Structure Groups and their W $^{}$ and C $^{}$ -Algebras

Eli Bashwinger, Patrick DeBonis

Countable Similarity Structure (CSS) groups are a class of generalized Thompson groups essentially introduced by Hughes. In this paper, we study CSS $^{*}$ groups, a subclass that inc…

math.GR2025

Non-inner amenability of the Higman-Thompson groups

Eli Bashwinger, Matthew C. B. Zaremsky

We prove that the Higman-Thompson groups $T_{n}$ and $V_{n}$ are non-inner amenable for all $n \geq 2$ . This extends Haagerup and Olesen's result that Thompson's groups $T = T_{2}$ and $V=V_…

math.OA2024

Von Neumann Algebras of Thompson-like Groups from Cloning Systems II

Eli Bashwinger

Let $(G_{n})_{n \in N}$ be a sequence of groups equipped with a $d$ -ary cloning system and denote by $T_{d} (G_{*})$ the resulting Thompson-like group. In previous work…

On Similarity Structure Groups and their W∗ and C∗-Algebras

Non-inner amenability of the Higman-Thompson groups

Von Neumann Algebras of Thompson-like Groups from Cloning Systems II

On Similarity Structure Groups and their W $^{}$ and C $^{}$ -Algebras