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

Huang, Huichi

doi:10.2140/apde.2016.9.893

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

Huichi Huang

Vol. 9 (2016), No. 4, 893–906

DOI: 10.2140/apde.2016.9.893

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.

Keywords

mean ergodic theorem, coamenable compact quantum group, amenable discrete quantum group, continuous measure

Mathematical Subject Classification 2010

Primary: 37A30, 43A05, 46L65

Milestones

Received: 10 November 2015

Revised: 3 February 2016

Accepted: 11 March 2016

Published: 3 July 2016

Authors

Huichi Huang
College of Mathematics and Statistics Chongqing University Chongqing 401331 China

Vol. 9, No. 4, 2016