On amenability and groups of measurable maps
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We show that if G is an amenable topological group, then the topological group L0(G) of strongly measurable maps from ([0,1],λ) into G endowed with the topology of convergence in measure is whirly amenable, hence extremely amenable. Conversely, we prove that a topological group G is amenable if L0(G) is.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 3859-3874 |
| Number of pages | 16 |
| Journal | Journal of functional analysis |
| Volume | 273 |
| Issue number | 12 |
| Publication status | Published - 15 Dec 2017 |
| Peer-reviewed | Yes |
Keywords
ASJC Scopus subject areas
Keywords
- Concentration of measure, Extreme amenability, Groups of measurable maps, Whirly actions