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

Fecha:	2015
Resumen:	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.
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Materia:	Property RD ; Group extension
Publicado en:	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

El registro aparece en las colecciones:
Artículos > Artículos publicados > Publicacions matemàtiques
Artículos > Artículos de investigación