On co-amenability for groups and von Neumann algebras
arXiv:math/0301348
Abstract
We first show that co-amenability does not pass to subgroups, answering a question asked by Eymard in 1972. We then address co-amenability for von Neumann algebras, describing notably how it relates to the former.
final version (minor changes)
Cited by in corpus (18)
- Groups of piecewise projective homeomorphisms
- Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
- W*-superrigidity for group von Neumann algebras of left-right wreath products
- Amenable actions, free products and a fixed point property
- On the bounded cohomology of semi-simple groups, S-arithmetic groups and products
- Group actions on dendrites and curves
- Bounded cohomology and binate groups
- Unique Cartan decomposition for II_1 factors arising from arbitrary actions of hyperbolic groups
- On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations
- Furstenberg boundaries for pairs of groups
- Bounded cohomology of classifying spaces for families of subgroups
- Relative property A and relative amenability for countable groups
- Amenability of Hecke pairs and a question of Eymard
- Classification of Tensor Decompositions of II Factors Associated With Poly-Hyperbolic Groups
- On fixed point planar algebras
- Metric approximations of unrestricted wreath products when the acting group is amenable
- A note on relative amenable of finite von Neumann algebras
- A note on characterizations of relative amenability on finite von Neumann algebras