Fell’s subgroup algebra for locally compact abelian groups and -covariance algebras
Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles
Fourier coefficients and absolute convergence on compact totally disconnected groups.
Fourier-Stieltjes algebras of compact extensions of nilpotent groups.
Free semigroups and unitary group representations
Functional calculus in weighted group algebras.
Let G be a compactly generated, locally compact group with polynomial growth and let ω be a weight on G. We look for general conditions on the weight which allow us to develop a functional calculus on a total part of L1(G,ω). This functional calculus is then used to study harmonic analysis properties of L1(G,ω), such as the Wiener property and Domar's theorem.