On ergodic properties of convolution operators associated with compact quantum groups

Abstract

Recent results of M.Junge and Q.Xu on the ergodic properties of the averages of kernels in noncommutative L^p-spaces are applied to the analysis of the almost uniform convergence of operators induced by the convolutions on compact quantum groups.

10 pages, to appear in Colloquium Mathematicum. (v2 corrects the unwieldy text format)

References in corpus (1)

• Characterizations of compact and discrete quantum groups through second duals

Cited by in corpus (5)

• On idempotent states on quantum groups
• Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory
• On pure quasi quantum quadratic operators of M_2(C)
• On Kadison-Schwarz type quantum quadratic operators on $\bm_2(\mathbb{C})$
• The Ergodic Theorem for Random Walks on Finite Quantum Groups