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arXiv · 1503.05954

Quantum families of invertible maps and related problems

Adam Skalski·Piotr M. Sołtan
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Abstract

The notion of families of quantum invertible maps ($C^*$-algebra homomorphisms satisfying Podleś condition) is employed to strengthen and reinterpret several results concerning universal quantum groups acting on finite quantum spaces. In particular Wang's quantum automorphism groups are shown to be universal with respect to quantum families of invertible maps. Further the construction of the Hopf image of Banica and Bichon is phrased in the purely analytic language and employed to define the quantum subgroup generated by a family of quantum subgroups or more generally a family of quantum invertible maps.

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BibTeXRIS

Adam Skalski, Piotr M. Sołtan. 2015-08-11. Quantum families of invertible maps and related problems. https://doi.org/10.4153/cjm-2015-037-9

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