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arXiv · 1007.0363

Isometric coactions of compact quantum groups on compact quantum metric spaces

Johan Quaegebeur·Marie Sabbe
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Abstract

We propose a notion of isometric coaction of a compact quantum group on a compact quantum metric space in the framework of Rieffel where the metric structure is given by a Lipnorm. We prove the existence of a quantum isometry group for finite metric quantum spaces, preserving a given state.

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Johan Quaegebeur, Marie Sabbe. 2010-07-02. Isometric coactions of compact quantum groups on compact quantum metric spaces. https://arxiv.org/abs/1007.0363

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