Finite dimensional approximations of certain amalgamated free products of groups
Operator Algebras
2023-10-16 v2 Group Theory
Abstract
A group is called matricial field (MF) if it admits finite dimensional approximate unitary representations which are approximately faithful and approximately contained in the left regular representation. This paper provides a new class of MF groups by showing that given two amenable groups with a common normal subgroup, the amalgamated free product is MF.
Keywords
Cite
@article{arxiv.2306.02498,
title = {Finite dimensional approximations of certain amalgamated free products of groups},
author = {Christopher Schafhauser},
journal= {arXiv preprint arXiv:2306.02498},
year = {2023}
}
Comments
8 pages, minor changes, to appear in Groups Geom. Dyn