Mean ergodic theorem for amenable discrete quantum groups and a Wiener type theorem for compact metrizable groups

Abstract

We prove a mean ergodic theorem for amenable discrete quantum groups. As an application, we prove a Wiener type theorem for continuous measures on compact metrizable groups.

The article is modified according to the referee's comments including the change of the title. Accepted for publication by Analysis&PDE

References in corpus (1)

• A mean ergodic theorem for actions of amenable quantum groups

Cited by in corpus (2)

• Pointwise convergence of noncommutative Fourier series
• Continuous $\times p,\times q$-invariant measures on the unit circle