Invariant states and a conditional fixed point property for affine actions.
Property T for discrete groups in terms of their regular representation.
Indice d'esperances conditionnelles et algebres de von Neumann finies.
A characterization of completely bounded multipliers of Fourier algebras
Proper cocycles and weak forms of amenability
Let G and H be locally compact, second countable groups. Assume that G acts in a measure class preserving way on a standard space (X,μ) such that has an invariant mean and that there is a Borel cocycle α: G × X → H which is proper in the sense of Jolissaint (2000) and Knudby (2014). We show that if H has one of the three properties: Haagerup property (a-T-menability), weak amenability or weak Haagerup property, then so does G. In particular, we show that if Γ and Δ are measure equivalent discrete...
Central sequences in the factor associated with Thompson’s group
We prove that the type factor generated by the regular representation of is isomorphic to its tensor product with the hyperfinite type factor. This implies that the unitary group of is contractible with respect to the topology defined by the natural Hilbertian norm.
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