Year: 2026
Type: preprint
Abstract: We prove that the relative commutant of a finite unitary tuple in a tracial matrix ultraproduct is internal whenever its conjugation operator has a spectral gap off the commutant. This implies the existence of a non-hyperlinear group.
Source: arXiv (Cornell University)
Authors: Alekseev, Vadim, Liu, Jihao, Thom, Andreas
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: De La Salle University
OpenAlex ID: W7214981113