On actions of compact quantum groups

Details On actions of compact quantum groups On actions of compact quantum groups

2010-03-29

arxiv.org/abs/1003.5526v2

Mathematics

Operator Algebras

9 pages, LaTeX, one erroneous statement removed

Scientific paper

We compare algebraic objects related to a compact quantum group action on a unital C*-algebra in the sense of Podle\'s and Baum et al. and show that they differ by the kernel of the morphism describing the action. Then we address ways to remove the kernel without changing the Podle\'s algebraic core. A minimal such procedure is described. We end the paper with a natural example of an action of a reduced compact quantum group with non-trivial kernel.

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