arXiv Open Access 2026

The Local Lifting Property, Property FD, and stability of approximate representations

Francesco Fournier-Facio Rufus Willett

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Abstrak

We establish Kirchberg's Local Lifting Property and Lubotzky-Shalom's Property FD for classes of finitely generated groups of central importance in geometric and combinatorial group theory: $3$-manifold groups, limit groups, and certain one-relator groups and right-angled Artin groups. We deduce that such groups are very flexibly stable, with respect to normalized unitarily invariant norms. The exposition is made accessible to operator algebraists and group theorists alike.

Topik & Kata Kunci

math.GR math.GT math.KT math.OA

Penulis (2)

Francesco Fournier-Facio

Rufus Willett

Format Sitasi

APA MLA BibTeX

Fournier-Facio, F., Willett, R. (2026). The Local Lifting Property, Property FD, and stability of approximate representations. https://arxiv.org/abs/2603.18456

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓