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research article
The Dixmier problem, lamplighters and Burnside groups
J.Dixmier asked in 1950 whether every non-amenable group admits uniformly bounded representations that cannot be unitarised. We provide such representations upon passing to extensions by abelian groups. This gives a new characterisation of amenability. Furthermore, we deduce that certain Burnside groups are non-unitarisable, answering a question raised by G. Pisier.
Type
research article
Web of Science ID
WOS:000271729100011
Authors
Publication date
2010
Published in
Volume
258
Issue
1
Start page
255
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 25, 2009
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