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On ergodic properties of convolution operators associated with compact quantum groups. (English) Zbl 1157.46036
Summary: Recent results of M. Junge and Q. Xu [J. Am. Math. Soc. 20, No. 2, 385–439 (2007; Zbl 1116.46053)] on the ergodic properties of the averages of kernels in noncommutative L p -spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups.
MSC:
46L51Noncommutative measure and integration
47A35Ergodic theory of linear operators
81R50Quantum groups and related algebraic methods in quantum theory