Simple groups without lattices

Uri Bader; Pierre Emmanuel Caprace; Tsachik Gelander; Shahar Mozes

doi:10.1112/blms/bdr061

Simple groups without lattices

Uri Bader^*
, Pierre Emmanuel Caprace
, Tsachik Gelander
, Shahar Mozes

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know, this is the first such example among (compactly generated) simple locally compact groups.

Original language	English
Pages (from-to)	55-67
Number of pages	13
Journal	Bulletin of the London Mathematical Society
Volume	44
Issue number	1
DOIs	https://doi.org/10.1112/blms/bdr061
State	Published - Feb 2012

Bibliographical note

Funding Information:
Uri Bader acknowledges the support of ISF grant 704/08; Pierre-Emmanuel Caprace is an F.R.S.-FNRS research associate and acknowledges the support of FNRS grant F.4520.11; Tsachik Gelander acknowledges the support of the European Research Council (ERC)/ grant agreement 203418 and the ISF grant 1345/07; Shahar Mozes acknowledges the support of the ISF grant 1345/07.

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10.1112/blms/bdr061

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abstract = "We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know, this is the first such example among (compactly generated) simple locally compact groups.",

author = "Uri Bader and Caprace, \{Pierre Emmanuel\} and Tsachik Gelander and Shahar Mozes",

note = "Funding Information: Uri Bader acknowledges the support of ISF grant 704/08; Pierre-Emmanuel Caprace is an F.R.S.-FNRS research associate and acknowledges the support of FNRS grant F.4520.11; Tsachik Gelander acknowledges the support of the European Research Council (ERC)/ grant agreement 203418 and the ISF grant 1345/07; Shahar Mozes acknowledges the support of the ISF grant 1345/07.",

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Simple groups without lattices

Abstract

Bibliographical note

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