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arXiv · 1304.4117

A Limit Theorem for Discrete Quantum Groups

Mehrdad Kalantar
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Abstract

We consider the {\it concentration functions problem} for discrete quantum groups; we prove that if $\mathbb{G}$ is a discrete quantum group, and $\mu$ is an irreducible state in $l^1(\mathbb{G})$, then the convolution powers $\mu^n$, considered as completely positive maps on $c_0(\mathbb{G})$, converge to zero in strong operator topology.

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Mehrdad Kalantar. 2013-04-15. A Limit Theorem for Discrete Quantum Groups. https://arxiv.org/abs/1304.4117

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