Polarization and Unitary Representations of Solvable Lie Groups.
Polynomidentitäten und Permutationsdarstellungen lokalkompakter Gruppen.
Projections in full C*-algebras of semisimple Lie groups.
Projective Limits of Unitary Representations.
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...
Propriétés des applications quadratiques d'un espace de Hilbert dans un espace vectoriel. Applications à la théorie spectrale des opérateurs normaux et à l'image numérique d'un opérateur