Equivariant compression of certain direct limit groups and amalgamated free products

2013/09/18 by Chris Cave, Cave, Chris, Dennis Dreesen +1
Mathematics · #20F65 (geometric group theory) #22D10 (Unitary representations of locally compact groups) #FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG) #math.GR #math.MG #msc:20F65 #msc:22D10

paper · pdf · doi:10.48550/arxiv.1309.4636

arxiv created 2016/02/07 · arxiv updated 2016/02/09

Abstract

We give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups G_i whose direct limit is G. Quantifying a result by S.R. Gal, we also study the behaviour of the equivariant compression under amalgamated free products G1*_H G2 where H is of finite index in both G₁ and G₂.

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