Vol. 297, No. 1, 2018

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ISSN: 0030-8730
Weak amenability of Lie groups made discrete

Søren Knudby

Vol. 297 (2018), No. 1, 101–116
Abstract

We completely characterize connected Lie groups all of whose countable subgroups are weakly amenable. We also provide a characterization of connected semisimple Lie groups that are weakly amenable. Finally, we show that a connected Lie group is weakly amenable if the group is weakly amenable as a discrete group.

Keywords
weak amenability, Lie groups, locally compact groups
Mathematical Subject Classification 2010
Primary: 22E15, 22E40, 43A22, 43A80
Milestones
Received: 13 December 2016
Revised: 15 April 2017
Accepted: 9 January 2018
Published: 7 October 2018
Authors
Søren Knudby
Mathematisches Institut
Westfälische Wilhelms-Universität
Münster
Germany