On co-amenability for groups and von Neumann algebras
By Nicolas Monod, Sorin Popa. 2003
78 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a3d72abdad34c59360c0ea23f73eb68561018e62
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In Algebra and Number Theory
In Applied Mathematics
In Mathematical Physics
- P. Caprace
- Mikael de la Salle
- Nicolas Monod
- Kate Juschenko
- N. Matte Bon
- Yair Glasner
- Denis V. Osin
- Volodymyr V. Nekrashevych
Citations in the corpus
- Amenable actions, free products and a fixed point property (2005, background): “However, even if Z is of the form L/M for M normal in L, it can happen that the H-action on X is amenable and L < H is co-amenable whilst the L-action on Z is not amenable; see [22, 28].”
- Isometry groups of non‐positively curved spaces: discrete subgroups (2009, background): “The argument is analogous to [66] and to [44, Section 4.”
- Extensive amenability and an application to interval exchanges (2015, background): “s surjective. The special case of transitive actions can be reformulated as the following particularly clean equivalence. We recall that the corresponding statement for amenability does not hold, see [MP03]. Corollary 2.5. Let F ≤ H ≤ G be groups. Then the action of G on G/F is extensively amenable ”
- Groups of piecewise projective homeomorphisms (2012, background): “Equivalent characterizations, generalizations and unexpected examples can be found in [29] and [30].”