On the permanence properties of residually exact groups
Group Theory
2025-12-16 v1 Operator Algebras
Abstract
A discrete group is called exact if the reduced group C*-algebra is exact as C*-algebras, and a discrete group is called residually exact if every nonunital element admits a surjective group homomorphism from to some exact group which maps to a nonunital element of . We prove the class of residually exact groups is closed under taking Green's graph products [1], double amalgamed products and special HNN extensions.
Keywords
Cite
@article{arxiv.2512.13212,
title = {On the permanence properties of residually exact groups},
author = {Hikaru Awazu},
journal= {arXiv preprint arXiv:2512.13212},
year = {2025}
}
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Written in Jan. 2020