Can I read The Dixmier problem, lamplighters and Burnside groups on EtoBox?

The Dixmier problem, lamplighters and Burnside groups by Nicolas Monod; Narutaka Ozawa is a scholarly article available to read on EtoBox.

What is The Dixmier problem, lamplighters and Burnside groups about?

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.

Author

Nicolas Monod; Narutaka Ozawa

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)

Published

2010

Language

EN