Geodesic
Quantum Families of Invertible Maps and Related Problems
Canadian journal of mathematics, Tome 68 (2016) no. 3, pp. 698-720

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DOI

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 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.
DOI : 10.4153/CJM-2015-037-9
Mots-clés : 46L89, 46L65, quantum families of invertible maps Hopf image, universal quantum group 
Skalski, Adam; Sołtan, Piotr. Quantum Families of Invertible Maps and Related Problems. Canadian journal of mathematics, Tome 68 (2016) no. 3, pp. 698-720. doi: 10.4153/CJM-2015-037-9
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     title = {Quantum {Families} of {Invertible} {Maps} and {Related} {Problems}},
     journal = {Canadian journal of mathematics},
     pages = {698--720},
     year = {2016},
     volume = {68},
     number = {3},
     doi = {10.4153/CJM-2015-037-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-037-9/}
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