Stability of amalgamated free products and HNN extensions

2023/05/15 by Maria Gerasimova, Gerasimova, Maria, Konstantin Shchepin +1
Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2305.08720

Abstract

We study stability of amalgamated free products and HNN extensions of stable groups over finite groups. We focus on operator norm stability, Hilbert-Schmidt stability and stability in permutations. We provide many new examples of stable (or flexibly stable) non-amenable groups.

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• Almost commuting matrices and stability for product groups
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