Property of rapid decay for extensions of compactly generated groups
Garncarek, Łukasz (University of Wroclaw (Polònia). Institute of Mathematics)

Date:	2015
Abstract:	In the article we settle down the problem of permanence of property RD under group extensions. We show that if 1 ! N ! G ! Q ! 1 is a short exact sequence of compactly generated groups such that Q has property RD, and N has property RD with respect to the restriction of a word-length on G, then G has property RD. We also generalize the result of Ji and Schweitzer stating that locally compact groups with property RD are unimodular. Namely, we show that any automorphism of a locally compact group with property RD which distorts distances subexponentially, preserves the Haar measure.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Property RD ; Group extension
Published in:	Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 301-312 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/295187
DOI: 10.5565/PUBLMAT_59215_02

12 p, 304.1 KB

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