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A characterization of completely bounded multipliers of Fourier algebras

100%

Jolissaint P.

Colloquium Mathematicum

1992

tom 63

nr 2

311-313

Proper cocycles and weak forms of amenability

100%

Jolissaint P.

Colloquium Mathematicum

2015

tom 138

nr 1

73-87

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 $L^{∞}(X,μ)$ 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 groups in the sense of Gromov, then such cocycles exist and Γ and Δ share the same weak amenability properties above.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Jolissaint P.

1 2015

1 1992

Wyniki wyszukiwania

A characterization of completely bounded multipliers of Fourier algebras

Proper cocycles and weak forms of amenability