Hilbert space compression for free products and HNN-extensions
Dennis Dreesen
TL;DR
This paper establishes bounds on the Hilbert space compression of free products and HNN-extensions of groups, based on the compression of the original groups, advancing understanding of geometric group properties.
Contribution
It provides new bounds and insights into how Hilbert space compression behaves under free products and HNN-extensions, extending previous knowledge in geometric group theory.
Findings
Bounds on Hilbert space compression for free products
Bounds on Hilbert space compression for HNN-extensions
Analysis relative to finite normal or finite index subgroups
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Geometric and Algebraic Topology · Algebraic structures and combinatorial models