Mathematics > Group Theory
arXiv:2606.19880 (math)
[Submitted on 18 Jun 2026]
Abstract:We establish $L^p$ bounds for operators associated with the quasi-regular representation of the free group on its Gromov boundary. The $p=2$ case recovers Haagerup's inequality, yielding a new interpolation-theoretic proof of the the Rapid Decay property for the free group.
Submission history
From: Guillaume Delord [view email]
[v1]
Thu, 18 Jun 2026 07:36:32 UTC (8 KB)
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