Finite dimensional approximations of certain amalgamated free products of groups

Christopher P. Schafhauser · arXiv (Cornell University) · 2023

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.

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