Isometric coactions of compact quantum groups on compact quantum metric spaces

Details Isometric coactions of compact quantum groups on compact quantum metric spaces Isometric coactions of compact quantum groups on compact quantum metric spaces

2010-07-02

arxiv.org/abs/1007.0363v1

Mathematics

Operator Algebras

Scientific paper

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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