Some geometric groups with rapid decay

2003/10/22 by Indira Chatterji, Chatterji, Indira, Kim Ruane +1 · 1 citation
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #math.FA #math.GR

paper · pdf · doi:10.48550/arxiv.math/0310356

30 pages, 0 figures. There is a change in the content of the paper. The statement of Theorem 0.5 involving cube complexes in the original version fo the paper was incorrect. There is a change in the content of the paper. The proof of Lemma 2.10 needed the use of a result in Drutu-Sapir. This was pointed out to us by D. Groves. The paper has been accepted by GAFA for publication

Abstract

We explain some simple methods to establish the property of Rapid Decay for a number of groups arising geometrically. We also give new examples of groups with the property of Rapid Decay. In particular we establish the property of Rapid Decay for all lattices in rank one Lie groups.

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• Some remarks on decay in countable groups and amalgamated free products

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