Vol. 9, No. 4, 2016

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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
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