Journal article
Inner amenability for groups and central sequences in factors
Ergodic theory and dynamical systems, Vol.36(4), pp.1106-1129
2016
DOI: 10.1017/etds.2014.91
Abstract
We show that a large class of i.c.c., countable, discrete groups satisfying a weak negative curvature condition are not inner amenable. By recent work of Hull and Osin [Groups with hyperbolically embedded subgroups. Algebr. Geom. Topol. 13 (2013), 2635–2665], our result recovers that mapping class groups and $\text{Out}(\mathbb{F}_{n})$ are not inner amenable. We also show that the group-measure space constructions associated to free, strongly ergodic p.m.p. actions of such groups do not have property Gamma of Murray and von Neumann [On rings of operators IV. Ann. of Math. (2) 44 (1943), 716–808].
Details
- Title: Subtitle
- Inner amenability for groups and central sequences in factors
- Creators
- IONUT CHIFANTHOMAS SINCLAIRBOGDAN UDREA
- Resource Type
- Journal article
- Publication Details
- Ergodic theory and dynamical systems, Vol.36(4), pp.1106-1129
- DOI
- 10.1017/etds.2014.91
- ISSN
- 1469-4417
- eISSN
- 1469-4417
- Language
- English
- Date published
- 2016
- Academic Unit
- Mathematics
- Record Identifier
- 9983985924602771
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