Hilbert space compression for free products and HNN-extensions

2010/02/22 by Dennis Dreesen, Dreesen, Dennis
Mathematics · #20F65 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1002.3879

openalex publication_date 2010/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given the Hilbert space compression of two groups, we find bounds on the Hilbert space compression of their free product. We also investigate the Hilbert space compression of an HNN-extension of a group relative to a finite normal subgroup or a finite index subgroup.

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