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Reflective-coreflective equivalence
Theory and applications of categories, Tome 25 (2011), pp. 142-179 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We explore a curious type of equivalence between certain pairs of reflective and coreflective subcategories. We illustrate with examples involving noncommutative duality for $C^*$-dynamical systems and compact quantum groups, as well as examples where the subcategories are actually isomorphic.

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Classification : Primary 18A40, Secondary 46L55, 46L89
Keywords: adjoint functors, reflective and coreflective subcategories, equivalent categories, $C^*$-algebras, coactions, quantum groups 
@article{TAC_2011_25_a5,
     author = {Erik B\'edos and S. Kaliszewski and John Quigg},
     title = {Reflective-coreflective equivalence},
     journal = {Theory and applications of categories},
     pages = {142--179},
     year = {2011},
     volume = {25},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2011_25_a5/}
}
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Erik Bédos; S. Kaliszewski; John Quigg. Reflective-coreflective equivalence. Theory and applications of categories, Tome 25 (2011), pp. 142-179. http://geodesic.mathdoc.fr/item/TAC_2011_25_a5/