|
|
|
|
|
|
|
|
|
|
| Anual | Mensual | Semanal | Hoy | Buscar | Ir al mes específico | ||||
|
|
|||||||||
SEMINARIO ANÁLISIS Y APLICACIONES
A cocycle transference method for Lp-Fourier multipliers on group von Neumann algebras
Ponente: Simeng Wang (Harbin Institute of Technology)
Fecha: Miércoles, 21 de junio de 2023 - 10:00
Lugar: Aula Gris 3, ICMAT
Resumen:
We establish a transference method of completely bounded Lp-Fourier multipliers for proper cocycles for pmp group actions on standard probability spaces. This generalizes the previous results by Haagerup and Jolissaint, which only deals with the case p=infty. In particular, this gives a natural transference method of Fourier multipliers between groups with measure equivalence, which yields an easy proof of the main result of Hong-Wang-Wang on the pointwise convergence of noncommutative Fourier series on amenable groups. As a second application, this also yields a transference method of Lp-Fourier multipliers from lattices in a linear Lie group to the whole group, which strengthens the previous results for Schur multipliers obtained by Haagerup and Lafforgue-de la Salle. This is ongoing joint work with Gan Yao.