Work

Non-inner amenability of the Higman–Thompson groups

Year: 2025

Type: article

Abstract: We prove that the Higman–Thompson groups [Formula: see text] and [Formula: see text] are non-inner amenable for all [Formula: see text]. This extends Haagerup and Olesen’s result that Thompson’s groups [Formula: see text] and [Formula: see text] are non-inner amenable. Their proof relied on machinery only available in the [Formula: see text] case, namely, Thurston’s piecewise-projective model for Thompson’s group T, so, our approach necessarily utilizes different tools. This also provides an alternate proof of Haagerup–Olesen’s result when [Formula: see text].

Source: International Journal of Algebra and Computation

DOI: 10.1142/s0218196725500365

Authors: Eli Bashwinger, Matthew C. B. Zaremsky

Institutions: University of Utah, University at Albany, State University of New York

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Simons Foundation

Award: G2836682112